resolution would be something to look for. in my opinion, you need to look for at least three things, resolution, dot pitch (size of each dot that makes up the image, so basically the smaller the better as more can fit per square inch), and refresh rate.
resolution can be whaterver you feel is necessary, i would recommend a
diagonal dot pitch of .25, and refresh is up to you.
as per your question of your video card with lcd, it doesn't matter.
here
CRT vs LCD you'll find a comparison between CRT monitors (the big fat ugly ones) and LCD's.
hope this was helpful