Downloading music to new iPhone

I just got a new iPhone and I want to download all my music to my new device. I had majority of my songs downloaded to my previous iPhone for my convenience. When I downloaded my backed up data to my new device all my songs were there but none of them downloaded to my device.

Is there an easier way to download them all back to my new device WITHOUT clicking song by song? I have all new songs to automatically download but what about all the other music that just arrived via my backup data?

Extremely silly and not user friendly on apples part of there isn’t.