These guys are right, get a Pelican and then put the guns in soft cases. That way when you get where you're going you have a way to carry your firearms.
With good leather cases the full Pelican will weigh just less than the 50 pound maximum, including two 12 gauge side x sides. I travel constantly with my guns to sporting clays shoots and have to bring guns home when I buy them when I'm out on business trips and Richard is accurate for those of us who travel out west, but the one thing that's very true is all these airports have their own way of doing it. Just remember to ask the ticket agent for the declaration, sign it, place it in the case and lock the case. The declaration is just a document that you sign that you attest to the fact that the gun is unloaded. If the TSA inspector wants to open it, and they rarely do these days, they'll ask you for the keys. A TSA approved lock is just a lock that will secure the case so no third party can open it without the key or combination.
Good luck and safe travels, it's really no problem when you do it right.