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I haven't used WP Ecommerce but I have some familiarity with WooCommerce - it does allow you to set up shipping zones worldwide with reasonable ease, and accept payments from PayPal with essentially just a PayPal email address. There are lots of limitations on what WooCommerce itself can do, but there are also lots of free plugins around that extend its features (some of best plugins cost and are quite pricey though). On the whole, WooCommerce seems to be pretty good quality reliable software.
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As Lucas says, it is important to use a theme that is written to integrate with WooCommerce (or whatever you choose to use). I'd suggest looking at the top 10 or so themes on the themeforest website (by popularity). Personally, I'd look for one that offers lifetime updates (otherwise you need to keep paying annually for updates) as well as WooCommerce compatibility.
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Is there anything else we can help with on this question?
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Dear EE, <br />
<br />
I did a hosting of a domain on godaddy and I have the wordpress install. I have access to the c panel, I would like to have a theme with a built-in store that can be used worldwide. <br />
<br />
Please any suggestions will be helpful as I am trying to do this on my own.<br />
<br />
Thank you.
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Dear EE, 

I did a hosting of a domain on godaddy and I have the wordpress install. I have access to the c panel, I would like to have a theme with a built-in store that can be used worldwide. 

Please any suggestions will be helpful as I am trying to do this on my own.

Thank you.

e-commerce site using wordpress

Electronic commerce (e-commerce) is the trading in products or services using computer networks, such as the Internet. E-commerce draws on technologies such as mobile commerce, electronic funds transfer (EFT), supply chain management, online transaction processing, electronic data interchange (EDI), inventory management systems, and automated data collection systems. Use this topic to discuss online shopping carts, online marketplaces, and e-commerce platforms.

E-Commerce

Hosting

WordPress is a free and open-source content management system (CMS) based on PHP and MySQL for creating websites and blogs. Features include a plugin architecture, a template system and strong management, customization and search systems; through its dynamic presentation of content, webmasters have the flexibility to create websites easily.