Transfer music to new iPhone 13 pro
I am having problems with transferring my music from my old iPhone XR onto my new iPhone 13 pro, all of my music files don't seem to have transferred over yet I have backed the old phone up to my iCloud account, am I right in thinking I now have to subscribe to music or iTunes to get my "old" music files or is there a way I can just copy all my files onto my new device, apologies if this has been discussed or answered before but I just can't seem to find any solutions,
thanks in advance
iPhone 13 Pro