header.php if is home....something special...

Heres where the buttons are:

                  <!-- BEGIN TOP SOCIAL LINKS -->
                  <div id="topSocial">
                        <ul>
                              <?php if(get_option('boldy_linkedin_link')!=""){ ?>
                              <li><a href="<?php echo get_option('boldy_linkedin_link'); ?>" class="linkedin" title="Join us on LinkedIn!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_linkedin.png" alt="LinkedIn" /></a></li>
                              <?php }?>
                              <?php if(get_option('boldy_twitter_user')!=""){ ?>
                              <li><a href="http://twitter.com/#!/XaapsApps" class="twitter" title="Follow Us on Twitter!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_twitter.png" alt="Follow Us on Twitter!" /></a></li>
                              <?php }?>
                              <?php if(get_option('boldy_facebook_link')!=""){ ?>
                              <li><a href="<?php echo get_option('boldy_facebook_link'); ?>" class="twitter" title="Join Us on Facebook!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_facebook.png" alt="Join Us on Facebook!" /></a></li>
                              <?php }?>
                              <li><a href="<?php bloginfo('rss2_url'); ?>" title="RSS" class="rss" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_rss.png" alt="Subcribe to Our RSS Feed" /></a></li>
                        </ul>
                  </div>      
                  <!-- END TOP SOCIAL LINKS -->

Just
replace this
 

<!-- BEGIN TOP SEARCH -->
                        <div id="topSearch">
                                <form id="searchform" action="<?php bloginfo('url'); ?>/" method="get">
                                        <input type="submit" value="" id="searchsubmit"/>
                                        <input type="text" id="s" name="s" value="type your search" />
                                </form>
                        </div>
<!-- END TOP SEARCH -->

Select allOpen in new window

with

<!-- BEGIN OLD TOP SEARCH -->
                        <div id="topSearch">
                                <a href="linkURL">Try Me </a>
                        </div>
<!-- END OLD TOP SEARCH -->

Select allOpen in new window

replace above with:

                  <!-- BEGIN TOP SOCIAL LINKS -->
                  <div id="topSocial">
<a href="http://appcenter.intuit.com/cash-maximizer-beta"><img src="http://www.callcarol.com/example3/wp-content/themes/boldy/images/but_blurb.png" alt="" /></a>
                  </div>      
                  <!-- END TOP SOCIAL LINKS -->

above was to remove search and place link instead
if you just want to remove search just remove don't replace and replace second block with the one  professionalc mentioned.

Thanks but you are only answering half the question...

What conditional tags do I add to the header.php file so the home page the existing layout, and the rest of the pages & posts show the new layout.

Home Page - keep the same with social links & no free trial link
All the other pages - remove the social links & add the free trial link.

if is home something...else something

for search (to be just at homepage)
 

<?php if (is_home()){ ?>
<!-- BEGIN TOP SEARCH -->
                        <div id="topSearch">
                                <form id="searchform" action="<?php bloginfo('url'); ?>/" method="get">
                                        <input type="submit" value="" id="searchsubmit"/>
                                        <input type="text" id="s" name="s" value="type your search" />
                                </form>
                        </div>
<!-- END TOP SEARCH -->
<?php } ?>

Select allOpen in new window

for free trial link / social links
 

<?php if (is_home()){ ?>
<!-- BEGIN TOP SOCIAL LINKS -->
                  <div id="topSocial">
                        <ul>
                              <?php if(get_option('boldy_linkedin_link')!=""){ ?>
                              <li><a href="<?php echo get_option('boldy_linkedin_link'); ?>" class="linkedin" title="Join us on LinkedIn!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_linkedin.png" alt="LinkedIn" /></a></li>
                              <?php }?>
                              <?php if(get_option('boldy_twitter_user')!=""){ ?>
                              <li><a href="http://twitter.com/#!/XaapsApps" class="twitter" title="Follow Us on Twitter!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_twitter.png" alt="Follow Us on Twitter!" /></a></li>
                              <?php }?>
                              <?php if(get_option('boldy_facebook_link')!=""){ ?>
                              <li><a href="<?php echo get_option('boldy_facebook_link'); ?>" class="twitter" title="Join Us on Facebook!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_facebook.png" alt="Join Us on Facebook!" /></a></li>
                              <?php }?>
                              <li><a href="<?php bloginfo('rss2_url'); ?>" title="RSS" class="rss" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_rss.png" alt="Subcribe to Our RSS Feed" /></a></li>
                        </ul>
                  </div>      
                  <!-- END TOP SOCIAL LINKS -->
<?php } else { ?>
<!-- BEGIN TOP SOCIAL LINKS -->
                  <div id="topSocial">
<a href="http://appcenter.intuit.com/cash-maximizer-beta"><img src="http://www.callcarol.com/example3/wp-content/themes/boldy/images/but_blurb.png" alt="" /></a>
                  </div>      
                  <!-- END TOP SOCIAL LINKS -->
<?php } ?>

Select allOpen in new window

Might want to use is_front_page()

http://codex.wordpress.org/Function_Reference/is_front_page

For reference, here are the conditional tags: http://codex.wordpress.org/Conditional_Tags

THANK YOU!  I am getting close to a working answer... :)
Where do I place the code mentioned above?  inside the body tag or before.  Here is the existing header code...where exactly would I place the code mentioned above?
 

<body <?php if(is_home()){
				echo 'id="home"';
			}elseif(is_category(get_option('boldy_portfolio')) || post_is_in_descendant_category( get_option('boldy_portfolio')) && !is_single()){
				echo 'id="portfolio"';
			}?>>
<!-- BEGINN MAINWRAPPER -->
<div id="mainWrapper">
	<!-- BEGIN WRAPPER -->
    <div id="wrapper">
		<!-- BEGIN HEADER -->
        <div id="header">
            <div id="logo"><a href="<?php bloginfo('url'); ?>/"><img src="<?php echo get_option('boldy_logo_img'); ?>" alt="<?php echo get_option('boldy_logo_alt'); ?>" /></a></div>
			<!-- BEGIN MAIN MENU -->
			<?php if ( function_exists( 'wp_nav_menu' ) ){
					wp_nav_menu( array( 'theme_location' => 'main-menu', 'container_id' => 'mainMenu', 'container_class' => 'ddsmoothmenu', 'fallback_cb'=>'primarymenu') );
				}else{
					primarymenu();
			}?>
            <!-- END MAIN MENU -->
			<!-- BEGIN TOP SEARCH -->
			<div id="topSearch">
				<form id="searchform" action="<?php bloginfo('url'); ?>/" method="get">
					<input type="submit" value="" id="searchsubmit"/>
					<input type="text" id="s" name="s" value="type your search" />
				</form>
			</div>
			<!-- END TOP SEARCH -->
			<!-- BEGIN TOP SOCIAL LINKS -->
			<div id="topSocial">
				<ul>
					<?php if(get_option('boldy_linkedin_link')!=""){ ?>
					<li><a href="<?php echo get_option('boldy_linkedin_link'); ?>" class="linkedin" title="Join us on LinkedIn!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_linkedin.png" alt="LinkedIn" /></a></li>
					<?php }?>
					<?php if(get_option('boldy_twitter_user')!=""){ ?>
					<li><a href="http://twitter.com/#!/XaapsApps" class="twitter" title="Follow Us on Twitter!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_twitter.png" alt="Follow Us on Twitter!" /></a></li>
					<?php }?>
					<?php if(get_option('boldy_facebook_link')!=""){ ?>
					<li><a href="<?php echo get_option('boldy_facebook_link'); ?>" class="twitter" title="Join Us on Facebook!" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_facebook.png" alt="Join Us on Facebook!" /></a></li>
					<?php }?>
					<li><a href="<?php bloginfo('rss2_url'); ?>" title="RSS" class="rss" target="_blank"><img src="<?php bloginfo('template_directory'); ?>/images/ico_rss.png" alt="Subcribe to Our RSS Feed" /></a></li>
				</ul>
			</div>	
			<!-- END TOP SOCIAL LINKS -->
        </div>

Select allOpen in new window