Short version- go DVI
Long version-
LCDs are digital- i.e. each pixel in your graphics card corresponds to 1 pixel(3 color cell) on the tft, not just a pulse of electricty to change the path of the electron gun of a CRT. So a traditional(analog) connection is rather absurd- take a nice digital signal, convert it to an analog signal, send it to the monitor, then convert it back to digital. It would look ok, but u could run into problems like shimmer or pixel jitter, which is when the analog signal places a dot about halfway between pixels, so it jumps back and fourth between 2 pixels on the moniter.
DVI is really nice, it ensures an uncorrupted signal by TMDS technology, nice image quality because the signal is not converted at all, and it seems to be becoming the industry standard for digital flat panels.
The only catch is to make sure your big ol' LCD and your graphics card work together. There are several cards out there with DVI out, some of them (GeForces) it varies by who actually makes the board. Just make sure the connectors will match up. Some older cards by ATI and some Compaq solutions have a DFP connector, that will work too, if you can find the proper adapter.
If anyone is interested in this or flat panel technology in general, I reccomend the displays guide at tomshardware- theres a 3 parter that is a little old but very informative. He explains it all a lot better than I can(no kidding, huh)
-my 3 cents