To transfer your progress to another device, you need to link your account to the Facebook profile on your original phone and then install the game on another device and link it to the same Facebook profile. After that, your account should be shared with the new device. Please note that you can only play the game on one device at a time.
If you do not have a Facebook profile, you can also do so by linking the game to your Google Play or Apple ID profiles, but only if both devices are in the same OS family.