Leaving NYC forever... moving to TX... best way to transport my handguns?

[physicsguy]

Hi.
I have 3 handguns registered in NYC.
In December we move permanently from Manhattan (don't get me started on what a slum NYC is now...) to Texas.
What is the best way to get my guns to TX?
We are flying, and I did manage years ago to fly my guns to New Mexico through a NY airport.
I could do that again, but we are flying with 4 pets and I don't want to add another hour or more to their unhappy travel experience.
Seems like I can't use: UPS, FedeX, USPS.
We are having our car transported to TX by train or similar, but I don't want to risk guns being stolen from the trunk or a lockbox.
Some kind of FFL way to minimize the risk/inconvenience?

Appreciate any and all advice.

Thanks!

[EXSUNY]

An FFL can ship them to another FFL. It will cost you a bit but not hard to do. If they are registered to you, why can't you declare them at the airport to TSA as most do? TX has no problem of you having the guns.