I have an iPhone 4 I game a lot on Game Center games My question is If I get an iPad (or iPod Touch): 1. Can I use the same Game Center Login over multiple iDevices 2. Will my save data for games be synced? (Such as Gun Bros. it doesn't make sense to have 2 characters) 3. If it isn't synced and if I play a Game Center game on my iPad/iPod T, will it over write my previous save from my iPhone?