Do yourself a favor...have a local licensed dealer ship your stuff to another licensed dealer at your destination. Much cheaper than the lawyer’s fees you will incur to get your stuff back after it is impounded or confiscated or “lost”...not to mention all the BS you will have to go through to take the stuff on the plane with you.
All states vary, but if you own the guns, you should be able to ship them to yourself without going through an FFL. It’s not like your buying them and will require a background check to pick them up.
Your local FFL should know the ropes or be able to research the rules for FL and AZ and back.
That actually sounds like a great idea. Then you don't have to "register" your arms to the TSA.