Nimble Quest's game data is stored locally and does not offer server backups or syncing.
For iOS devices:
To transfer your game to a new device, backup your old device using iTunes or iCloud and restore your game onto the new device. Please see Apple's guide on backups for more information. http://support.apple.com/kb/ht1766
If you store your Nimble Quest data on an SD card you should be able to transfer it to the new device by swapping out the card. Alternatively, there are third party apps on the Play Store that can help you backup and transfer your app and other phone data, though we cannot vouch for one specifically.
Please contact us for further assistance.