Uncharted 1 and MGS4 are 2 games I played all the way through and enjoyed them both very much. I now have Uncharted 2 pre-ordered and have already read some great reviews on the game. I tried the demo for Resistance and thought it was too hard so I never bought the game. Also LBP is another great exclusive that I have played quite a bit of. Other games I've played exclusively for the PS3 are Killzone 2, Infamous, and Flower(a short game, but so amazing).
There are quite a few coming out in the future(God of War 3, MAG, Heavy Rain) that I will be playing. They also have the Ratchet and Clank series which I played the first couple on the PS2, but have yet to get into the series on the PS3.
For charging the controller you just plug a cord into it and then connect that cord to anything with a USB port, and then the controller will last hours(20+) after being fully charged.
The main reason I had bought the PS3 was for the Blu-Ray player also, but I've come to use the PS3 for so much more and I am so glad I bought the system.
I also bought a 360 not too long ago and now I am enjoying the exclusive games for that system, so I'm kind of neutral about the console systems.