Here is my set up in my home office. I use an entertainment unit for my desktop computer, 15" CRT monitor, 26" HDTV, audio receiver with stereo speakers that I use when watching TV, printer, computer speakers with sub-woofer, and plenty of storage below. I bought a VGA cable connected to my computer which I can swap connect the CRT or the HDTV. It all works great. Since the CRT is just below eye level and the HDTV is about a foot higher, I have it tilted towards me for better viewing. I use the CRT most of the time; but when I do a slide show, watch something on Hulu or other internet TV channel, or watch a video played on the computer's DVD drive, I use the HDTV. My TV is connected to DISH Network. I do not have a dedicated LCD monitor, but when I use my brother-in-law's computer with his LCD monitor and compare it to my HDTV setup with my computer; the visual quality is better with my setup -- at least in my opinion. For example, when I do a slide show with a black slide, it is pitch black without any distortions, wavy lines, pixelations, etc. My only recommendation is to get a plasma HDTV, if possible. The reason for this is that my plasma HDTV is far superior to my three LCD HDTV's I have when watching the same HD shows. Therefore, I would think that this would be the case if a plasma is connected to your computer.
Do you know what an OLED TV is?
CNET explains how OLED technology differs from regular TVs, and what you need to know to make the right shopping decision.