Here is the thing about traveling, flying with, carrying, obtaining, having and keeping, and using firearms:
It is not big deal, so don't make a big deal out of it!
It is not only our Constitutionally protected right, but it is a normal part of life.
Know the laws and rules, and just do it.
If we get all worked up over it so will others. It isn't our concern if the general public gets concerned. Just do what you are supposed to do, and move on.
Watch others in check out lines. Some people go about their daily lives like everything is normal, and nobody notices them. However, some people are so concerned they draw attention to what they are doing. Watch men buying "men's magazines", certain medications, condoms or feminine products. They get all wound up, they make a big deal about it, and everyone around them knows what they are doing. If they just walk up, set it down, and pay the bill, nobody cares. This is why I go through the routine the way I do. I researched the system, I eased into it, and now that I know it well, I just do it.
I had a "small man" in Phoenix harass gun toters one day (there were three of us traveling with guns, but we were not together). One guy did pretty well and made it through, one went into a panic at the first word and ended up back at TSA - They sent him back eventually with the reassurance he was ok, and I just said prove that I'm wrong. He claimed that I had my guns packed wrong. I know the rules, had passed TSA, and I had flown out there that way. I just put it back in his lap. He pulled out his manual, but he couldn't show I was wrong. His thing was "Whell! I interpret the law for our airline, and this is my rule!" I asked then how I was to get home. Once he realized that "his" airline had let me fly into Phoenix he should probably let me fly home. Don't let them rattle you!