The pro8200 would be good for your situation. Gaming and TV/movies. I have it and use it for that. And is cheaper than all the other 1080p PJ's.
I do use the pro8200 for multiplayer split screen when I go over to my friends house or he comes here. And movies /sports is nice in 120 inch screen.
But mostly I use my 42 inch hdtv for movies/games/sports. But split screen sucks on a 32inch or 42 inch.
If your friend recommended a pro8200 and he has one, maybe go to his house and see how you like it.
The pro8200 is portable and is cross-over PJ, meaning it could be home theater or take with you projector. It comes with 3 years warranty, case, 2 hdmi ports, and is super Bright and Clear.
Then spend the rest of your money on portable screen and you are set for travel or setting it up at home.
Pro8200 got good Pro reviews and user reviews. So it's not a no-name brand.