The LG cinema displays are passive. This means you get half the resolution as active displays. It should be compatible with AMD, but you may want to make sure, but I'm pretty certain the passive cinema displays are AMD compatible.
Nvidia has their own standard for 3D, called 3D Vision. It has been out longer and has more support. I personally would not use anything but Nvidia 3D Vision, if nothing other than the fact that there is a modding community that has fixed a lot of games that don't normally support 3D Vision.
Here is the site: http://helixmod.wikispot.org/gamelist
With this site, there are a lot of games that are great in 3D, without it, it is a lot harder to find games to play in 3D.