To transfer your progress to another device you need to connect your profile to Facebook.

 

The button is located in the main menu, at the left side of the screen.

 

 

It will lead you to Facebook log in screen.

 

 

After successful connection you will need to repeat these steps on the device you wish to transfer your progress to. When you connect your Facebook on a new device it will ask to choose the progress you want to transfer. Choose the progress you wish to transfer to your new device.

 

After that the progress will be transfered.