I currently have a 32", 60Hz TV as my main computer monitor, and I'm looking to upgrade into a 3 monitor Eyefinity setup (or the nVidia equivalent...)
I would like to buy a really nice LED TV to use as the middle monitor, like a 240Hz one that has very little motion blur. Then get another cheap 32" 60Hz TV to go with the one I currently have and use them as the side monitors. Is that possible? or do I have to stick with all 60Hz TVs.
120Hz and 240Hz HDTVs only accepts 60Hz inputs. The monitor does some internal processing to output additional frames on the screen. This helps movies look smoother. It also processes the images to "look better" however, that depends on who you ask. Movie aficionados will probably think it makes the movie looks worse since it would be different than how it was presented in the movie theater.
This video processing uses a bit of time, the more video processing is done, the more time it takes. For movies this is fine. However, for playing games it will cause artificial input lag where there will be a bit of time between your actions and when they appear on the screen. It is best to set all HDTVs to "game mode" or 60Hz to minimize input lag.