99% of people are too unobservant to ever notice if you are carrying.
And I would call that a conservative estimate.
What color are your boss's eyes? You neighbors two houses down? (Think about all of the people that you know, how many can you really describe well?) etc... Now describe how your boss acts, your neighbors, the people that you know and meet, etc... you get the picture.
Behaviors are what people notice. Carry concealed and behave like it is "concealed" meaning not visible, and for almost everyone on the planet it does not exist.
And these days, folks have multi-tool cases and cell phones on their belts that can easily redirect any "possible" suspicions that you might be carrying a gun under your shirt. (Although recommendations for good holsters and belts are very good advice; if for nothing else but peace of mind and comfort.)
I have carried for decades, and never had anyone "make me" that I know of, and have carried concealed full size (read Colt Government 1911) OWB and IWB even when visiting Florida (and other warmer weather states). I used to carry different 6" .44 mag revolvers concealed for years.
Here in Alaska, I don't need a CC Permit to CC; along with Vermont. I have one, because that allows me reciprocity with many other states. However, I believe that the 2A does cover this topic for us; we have just allowed some states to take this away, and then regulate it back to us on their terms.
Be sensible, be safe, be responsible, and relax... you are not the center of everyone's attention; unless you make yourself the center of attention.
Oh yeah, avoid spandex and leotards!