Yes! If you sync to your Facebook account, you will be able to play on several devices and retain your pets, no matter the device you play on.
To link your game data to Facebook:
- Click the Settings cog icon at the top-right of the screen
- Choose the "Log in to Facebook" option.
If your account is linked, make sure that you are logged in on your current device before playing on another so that you don't lose any progress.
Please note: The linking to Facebook feature is only available to users who meet Facebook's account creation and age requirements.