If you have not done so already, please make an Account using Facebook, Google+, or a Username and Password. Setting up an account ensures you can access your game in the future, even if you lose access to your device. It will also protect you from losing your game if you experience a crash as well as allowing you to play on multiple devices. Set up an account on your old device before making the upgrade!
Once you have your new device, simply beat the tutorial to access the main menu (9 square icon in the bottom left). Then tap Account Info, and connect to your account to restore your progress.
Once you have your new device, simply beat the tutorial to access the main menu (9 square icon in the bottom left). Then tap Account Info, and connect to your account to restore your progress.