From your old phone make a decentralized Backup with ADB.

adb backup -apk -shared -all -f backup.ab

And restore it on your new phone

adb restore backup.ab

Or manually backup/restore your phone from the following directory's.

/data/data       # the DATA of all app's

/data/app        # MANUALLY INSTALLED apk's

/system/users/0  # SYSTEM settings