hard to say. I went with the LCD for a few reasons,
1), small and i have limited space
2), they are getting better for gaming, some are down to 2ms responce, which is absolutely fast. very little if any ghosting on those. (i have a 8ms and i have not noticed any ghosting, however, my grphics card doesn't supoprt the games that would ghost).
3) they cost less as they use up less energy
4) CRTs are becoming obsolete.
5) they are easier on the eyes if you plan to spend along time on them.
for the downsides, i decided that the blackness wasn't worth it, and I could deal with the cost, ($350 monitor).
Upsides for the CRT where
1) cheaper
2) better blackness
3) better performance for cheaper models. some LCDs are up there with CRTs, but they cost more.
downsides are
1) use more electricity to run
2) are very big
3) are harder on your eyes
4) are becoming obsolete
5)hard to get rid of when you upgrade again.
Lost of cons and pros for each side. I personally prefer the LCD, and all the high end gamers that I know use LCDs instead of CRTs, although we are all in the dorms... (limited space). Its kinda up to you, but i know that looking at CRTs now makes my eyes hurt after having the LCD for a year....
Just my opinons.
Hope that helps.
------edit -------
One thing you can try, is go store shopping, look at the displays that they have of the LCDs and CRTs and compare. adjust the brightness to about what you use now, and decide. even if you buy online, the building stores are great to try things out and see what looks like it will work for you. Bring a dvd or a sample disk, and see if the colors are to your liking and such.
I always hear that the best way to determine if that monitor is what you want is to acturally look at it.