How do I transfer ripped CD music from my old phone to new one?

I have an iPhone 5c, and the external drive that held my music referenced by iTunes unfortunately seems to have died. :,( I had a lot of music on it. Many hours of ripping my CDs and setting up iTunes library.

I am purchasing a new IPhone 13, and I want to transfer my music to it. Obviously with the non-functional drive, I cannot use iTunes library to transfer the music. Is there any other way I can get these ripped music files from the iPhone 5c to the iPhone 13? Can iTunes do this by now? (It’s been awhile since I updated it…..I mean, awhile.) Any other program that can do this? There are also wonderful personally recorded mp3s that are irreplaceable. I need something that can pull these files losslessly from the iPhone 5c onto anything else so I can get them to the new iPhone.

thanks for any help on this.