How can I restore my progress or transfer it to a different device?

As of now, it is only possible to synchronize your progress across devices via Facebook. Log in to Facebook in the game (from the main settings menu) on the old device and then just do the same on the new device—the progress should then synchronize.

The same is true for restoring your previous game progress on the same device. If you have had Facebook synchronization before, then you just need to sign in once again in the game to restore your previous achievements.