Just make sure you understand and rigorously adhere to the rules at both ends of the trip, and obviously to federal and airline regulations. Years ago I travelled often between my former home state of NJ to Florida, and back, with no problems, but i was prepared. Don't assume anyone in the process knows more than you do - but make sure you know exactly what is required. Heck, I even printed up business cards with a brief statement explaining my intent to lawfully transport (not carry) firearms in my checked baggage "in accord with all state and federal laws and airline regulations" and if the reader did not understand to "please contact a supervisor". Handing the card to them was nice and quiet and came across professional, I thought.
Things went well every time, though the first time through the ticket counter person in Newark tried to give me a carry on the plane form. It looked like something for law enforcement use. Obviously I declined that form and suggested the correct form/declaration which was found and provided. Another time the ticket counter person in Newark cheerfully asked me to open my gun case so she could see my pistols (this with many passengers in line directly behind me, so... "What, here, now? Um, OK". I turned the case in her direction so only she could see and opened it.
Never any confusion in Florida. Not too bad in NJ, they just lack experience.
Oh yes, heed the excellent advice given above about never taking possession of your baggage in a gun-unfriendly location along the way. Your FOPA protection disappears once you are no longer in transit and have possession, then local law will apply.