Anti-Trend is 100% right about your situation of "Which monitor will game better" as CRT monitors are better, however I use a 19" Philips LCD, and i regularly play:
Doom 3
Far Cry
Call of Duty
Battlefield 1942
Battlefield Vietnam
HL2 / CS:S
All first person shooters, and i don't have a problem of ghosting or pixel distraction, and my FPS is the same as using a CRT.
The one thing you have to make sure of, is when buying a LCD to game on, make sure it has a refresh rate of either 16MS or 8MS, (the lower the better - MS = MilliSeconds), also make sure that your LCD your choosing is capable of atleast 70/75Hz at high resolutions (ie: above 1024x768 - ideally atleast 1280x864).
As i said, I have no problem with ghosting, brightness, contrast or pixel distraction, and you do notice the difference - but not in a negative way, I've used LCD's now for about a 1 1/2 years and I find it very hard to use CRT's now.