The strangest thread to bring me out of lurking. I'm an AV enthusiast, so you understand why. If you want more information than you'll ever be able to process, I'd recommend the forum at AVSforum.com where there are literally decades of information and millions of threads to go through.
If you don't want to dive into that level of craziness, I would need more information to give you advice. Primarily, what you will be using the TV for, what the TV will be hooked up to (e.g. high-def, or not? DVD, VCR, or HD-DVD/Blue-ray?), your budget, and the location of the TV (surprisingly important, mainly in terms of how much control over light you have in the room).
As the primary choice nowadays is between LCD, plasma, and DLP/LCOS/SXRD, I'll go over the advantages of each and assume you're not looking to install a 120" front projection system.
LCD: Brightest of the three, most suitable for rooms in which you'll do significant daytime viewing, less heat generated and less electricity used than plasma, prices coming down the quickest and probably the technology that is going to be most widespread in the near future
Plasma: Better contrast (especially in dark scenes) than LCD in general, better if you're a more discerning viewer and watch more movies, expensive however in larger (50" and up) sizes
DLP/LCOS/SXRD: Cheaper especially in largest sizes (60" and up), some people prefer the image to plasma or LCD especially when light is well controlled in room; these are rear-projection technologies however so different than the first two
Issues like resolution aren't as important as the image quality of the set. Connectivity can be important especially if you're also into upgrading your sound system (highly recommended if you're into movies). Burn-in is not an issue with newer plasma sets (7th generation panels and up). Costco is a good store to purchase from if you can accept their selection. Consumer reports is horrible, btw, at judging AV equipment. CNET is somewhat better.