I pretty much keep mum on it, and I tell my kids to do the same.
Here's why; A long time ago I worked for Brinks. I started as a driver and quickly wound up in management. The number one rule? Do not discuss what we do, how we do it or anything about our operations with anyone other than your wife. And if you do, tell her to keep her mouth shut.
Reason? You may tell a friend, and that friend, though they may not be a threat at all, may innocently tell someone "hey, I have a friend who works for an armored car company. It's unbelievable what they do. Let me tell you about it...". That person then tell's someone and so on, until eventually, someone may use that information to obtain things that don't belong to them. It has happened.
I have firearms. And my children have been told, you don't discuss it, for the very same reason. If a criminal, or someone looking to do bad things, want's a gun, or, your preps, it's not wise to let them know you have it. You make yourself an unnecessary target.
So I am very careful in who I let know what I have. And even then, unless they are a trusted friend or family member, I don't let them know everything. My neighbor recently identified to me that he and his wife are prepping. I had my suspicions, but they confirmed it a couple weeks ago. I now know what weapons he has, what preps he has and doesn't have and on and on. He knows very little of what I have, mostly general references. If I were any other person, his house would be first and he wouldn't have any of it for long.
On the flip side, several of my neighbors and I are beginning to "gel". We have had a recent rash of thefts in our neighborhood, 5 families on our block are now prepping, and the mower I wound up with that I was going to convert to a generator, found it's owner. I'm fixing it for her too! It was stolen out of her fenced back yard three houses down. She said she had no idea it was even gone until this week (between my house and the alley, it's been over two months). So now, we've got our own un-official block watch going and one of our "suspects" (a tweeker) got nabbed last night right on the steps leading into my yard and hauled to jail on a felony warrant.