If you want to play on a new, or another, device, you can use the same iOS Game Center account to restore your progress.
In your device’s Settings, log in with the iOS Game Center account you previously used to play on your other device, and after starting up the game your progress should automatically download to your new device.
Connecting your Facebook is a great idea as well, since it can act as another means of restoring your account - or even be used when you’re migrating operating systems, to ensure you start right where you’ve left off.
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