I am of the belief that if you try to hide something from your kids or create a fear about it, they will want to know what all the poop is about and get curious.
My 6 year old daughter is growing up around firearms just like I did. I'm teaching her a healthy respect for them, I don't project a fear of the gun, and even though she hasn't shot it yet, I let her hold and get familar with "her" Ruger 10/22 that my dad gave me. She knows she is not to touch even her toy cap gun without me. With that toy I'm teaching her the "big 4" proper gun handling rules. She knows I dryfire practice in the garage and has even joined me in some mock stage setups with her cap gun. She's actually pretty good on her draw and running safely from cover to cover engaging targets and observing the 180. Its amazing what kids can pickup. I'm going to get her an airsoft gun for her birthday so we can both have a little fun at home. I'm just glad that she is interested in something I do. She has NO intrest in the Martial Arts. One day she asked me if she could borrow some of my targets. She pasted them up on the walls of the house, putting some of her stuffed animals in front of them as No-shoots, then asked me if she could practice...warms my heart!
As far as carrying, since she has been briefed on the proper handling of firearms and thier role in life, she thinks nothing of me carrying. There were even times where she has even reminded me that I didn't put it on (I don't wear it when I take her to school) so now she is also learning when and where its allowed.