TulsaRose, I don't want to get in your way, but I just don't understand why newbleeping wants to put links to web-sites on her desktop.
Newbleeping, desktop space is a scarce resource - you can run out of it quite quickly ! I understand why you want to make these icons / shortcuts readily recognisable but I don't understand why you want to put them on the desktop in the first place.
dc3 has referenced the purpose of multiple tabs. This ability, shared by all modern browsers, enables you to have active links open to several web-sites at the same time - eg Google, your e-mail, your work, a music station and so on, but the simplest place for storing the addresses (URLs) of web-sites you visit regularly is in the 'Bookmarks' folder.
This is extremely easy to do, and I do it for every web-site I expect to re-visit on any frequency like once every two or three months. To take Amazon as an example :
Once you have arrived at Amazon's home page the first time - and how you got there doesn't matter, you may have typed 'Amazon.com' into the address bar or googled Amazon or come by a link from another page - click on 'Bookmarks at the top left hand of the screen, then click on 'Bookmark this page', then, in the little pop-up menu that appears, click 'Done'. That's it.
The next time you want to go to Amazon - open Firefox, click on 'Bookmarks', click on Amazon' in the list that appears - you're there.
By all means, put a link to Firefox on your desktop - that's the 'One ring to rule them all' - but I suggest you try using 'Bookmarks'.