If you don't have Play Store, you can download Titanium Backup from here : https://bit.ly/2BOJEUE

Titanium Backup supports backups made on non-rooted devices!

Titanium Backup has reached a milestone and we are really excited to announced the latest most interesting feature – which has been one of the top priority in our lists forever – support for restoring backups that were made on non-rooted devices! Android 4.0+ devices have a built-in “full backup” feature that requires ADB. The process is as follows: you create ADB backups on a non-rooted device, then root your device without fearing data loss, and finally restore your stuff with Titanium Backup from the backup file you made earlier. Okay, we know you are just excited as we are. Hence, we have included a small tutorial on how to use this feature. Check it out here.