I downloaded Clash of Clans to my iPad (iOS 7) this past weekend and started playing. 

Of course, after a couple of hours I realized I made some newbie mistakes that are fatal to my future success. I wanted to restart, but it seems the only way to do so is to reset the device which I really would like to avoid.

After some Googling I tried the option of logging out of Game Center and logging in with a different Apple ID. But, sadly, CoC re-launched back into the existing game.

Is there any way I can start over? Or at least start a new game under a different account on the same device?