I was wondering what happens to your games' stats, points, levels etc. when you switch phones. I'm mainly thinking about Game Center games. So, if you've been playing Angry Birds on your iPhone 4, and you upgrade to the iPhone 4S, does Game Center retain your levels and achievements? Can you simply log in with Game Center on your new device and have your achievements and levels transferred? I assume you would re-download the games, but can you retain the in-game information?