How to copy apk and data from old device to new device
There is an app called Helium, which sounds like what you're looking for. Supposedly, it moves app and app data between devices, which should include the recognition that you have the premium upgrade. It does, however, require a desktop to complete the transfer. There are other options like oandbackup and Migrate - Requires TWRP, depending on your level of experience and whether you can make certain modifications to both/either phone.