You can transfer game progress from the old device to the new one if you connect the new game to the same Facebook account that was used on the old device:
Install the game from the App Store or Google Play on a new device.
Connect the downloaded game to the same Facebook account that you used during the game.
In the window that appears, click Download.
Enter Confirm to confirm.
Between iOS devices, progress can also be transferred using iCloud:
Connect the new device to the same iCloud account that was used on the previous device.
Download the game from the App Store.
Progress will be downloaded from the cloud automatically.