Yes, you can restore your purchases and your progress!

Open the game on your old device, log in to Facebook and play any Single Player level. After that, simply log in with the same Facebook account on your new device to recover your progress.
Check our FAQ article "How to save my progress?" to learn how to keep your account safe!

Purchased bikes can be restored by downloading the game with the same Apple/Google Account used to make the purchases and tapping on Restore in the game's Shop.

Please note that purchased bikes will only be restored if they were bought on the same game (Bike Race Free/Bike Race Pro), same store (App Store/Play Store), and same account (Apple ID/Google ID). This means that if you purchased a bike on an Android device, you will not be able to recover it on an iOS device. This also means that you will not be able to recover bikes bought on Bike Race Free in Bike Race Pro.