Whenever I travel somewhere to compete, I will securely package (hard case with zip ties and tamper tape) making sure there is nothing on the package to indicate the contents, go to the Fed Ex account that I set up on-line using a Credit Card, create a shipping label with my name in the from address and my name C/O the address where I'm headed. It's perfectly legal for me to ship my guns to me in another State, I take a picture of the gun (and serial number) before sealing the package, insure for replacement cost, then drop them off at the nearest Hub or sometimes click the box for pick-up at the location I'm at.....really nothing to it. They don't ask, I don't tell.
Handguns: I'd call whatever Shop I used back home and ASK, REPEAT BACK, AND MAKE DAMN SURE with who ever is in charge of what they're going to charge to receive them all and
IF he's demanding them shipped from another Dealer (its NOT a Law, but some just won't do it. Now when you go to pick them up you only need fill out one 4473 and if the Dealer runs out of lines, simply attaches another 4473 to the first, so outside of logging the Handguns in/out of his Bound Book they have to file a "Multiple gun sales" form with the FBI, but that's not your problem or that big of a hassle for the Dealer. Now the elderly gentleman really only needs a copy of the Dealers FFL to send them to him, and in reality he doesn't have to have that, but it'll make it a little easier when he goes to the Sheriffs Office, hands them his Licenses and the FFL with "This is where I shipped all my pistols to, so you can take 'em off." What are they going to do take away his Birthday?
Ironically if this was your Dad giving you his guns before its too late, then he could hand them off and you could send them to your Home out of State....people get way too worked up over handling something the State/Govt. really has no business sticking their nose in.