Too Many Monitors

It's called a KVM - you will probably need an 8-port version to accomodate 5 servers: http://www.newegg.com/Product/Product.asp?Item=N82E16817107458

As Barthx said, what you are looking for is a KVM switch.  I've had realitively good luck with Avocent prodcuts for smaller configuations (4 systems or less).  I haven't used their larger products, but you might want to take a look at their "SwitchView OSD".

 If they are networked together you could always "Remote desktop" the servers.  Most of today's OSs offer some kind of remote framebuffer that you can manage those servers as if you were there.

How do they work?  

The KVMs I mean.  Will I have one designated monitor, keyboard, and mouse to use?

 A KVM is a switch box that you connect the monitor/mouse and keyboard  in one end... and all your computer boxes on the other... and you simply push a button and it redirects the signal to the selected computer box.

  KVM stands for Keyboard, Video, Mouse .. so that's why you call these boxes a KVM switch

You can get versions which send the signals over your network also: KVM over IP.  The only thing necessary at that point is the network connection and relevant KVM boxes at either end (and thus don't even need to be physically near them! :D [add disclaimer here for obvious security concerns] ).

Good KVM switches allow you to change the Server just by using a special key combination, the one i'm using here you press ctrl ctrl twice short after another.

Hi,

Here is a simple KVM switch manual, hope it clarify your question.
http://www.zonetusa.com/ProductDownload/KVM3008.pdf

Regards.

Indeed Barthax was the first to answer.

By the skin of my teeth!  I'd be happy to split with Callandor as the times are identical.