Turns out I already have the iMazing trial. I just went out to the iMazing site to do a little research and found something interesting. It backs up virtually everything except books, music, and video! I would think those would be something a user would want to back up.I haven't any experience, really, with iBooks, but I'll just note that I've been using iMazing for backups, migrations and transfers for several years, and it has worked pretty well, so that's an option you could check out. Here's a help page:
download it and try it out before purchasing.
As I said, I found the utility EaseUS MobiMover, which does allow copying either i-device to Mac, Mac to i-device, or i-device to i-device. I used the device to device, and it went very quickly and correctly. I would recommend it as an addition to the backup/restore functions of iMazing.