Yes, I have built one fixed gear and am building up a lo-pro time trial frame as a fixed gear at the moment. So I have some limited experience and happy to help if I can.
Firstly everything I learned I got from Sheldon Brown ^^ and from London FGSS forum (LFGSS.com). There is a massive amount of knowledge on that forum but its not the friendliest place so you definitely need thick skin if you are going to post on there, especially if you haven't searched thoroughly first - That said there is such a lot of information on there that using the search button meant I didn't need to actually post for about 9 months!
The most important thing is to check what dropouts you have? Check sheldon's glossary (
http://www.sheldonbrown.com/gloss_dr-z.html#dropout) for the different types. Ideally you want horizontal dropouts (either forward or rear facing) so that you can adjust chain tension without a rear derailiur. There are ways around this if you have vertical dropouts but horizontal is easier!
You almost certainly need a new wheel, you could try and get a wheel built using your existing rim on a new hub but it probably wouldn't work out any cheaper than getting a new wheel built. Another option would be to scout ebay and LFGSS for a cheap second hand wheel? What you want is one with a "Fixed/Free Flip-flop hub" and you need to measure the spacing of your rear dropouts to make sure you get the right size (most track hubs are 120mm but your hybrid may be wider).
Building a Fixed/Single speed is a great way to learn about bike maintenance and I can't recommend it enough!
Let us know if you have any questions!
http://sheldonbrown.com/singlespeed.htmlhttp://sheldonbrown.com/fixed.html