to add, the standalone TV has quite a few advantages, namely ready connections to other devices, games consoles, dvd players etc. It'll also have remote control, decent audio, a much quicker boot time and can be moved around the house if you wanted.
The other thing to consider is the size. Widescreen or 4:3, widescreen has almost the equivalent of two sceens side by side, which is a useful. If you normally use a PC with a high screen resolution, you need to make sure the TV can display it, most hi-def TV now show resolutions of 1280 x 720 or 1366 x 768. Also check connection types on both devices are compatible, either DVI if you are lucky, S-video or if nothing else, VGA is the standard method. good luck