It's been a long time since my son and two daughters were kids, but as I recall I introduced them to guns whenever they got curious about the .22 rifles I had on a gun rack.
Best I can remember, they shot bb guns around age 10 and .22s around age 12 when they got big enough to safely handle them. By the time they graduated from high school, they had fired .22s in rifles and handguns plus .38s and .357s in single-action revolvers.
They were never ever to touch or handle any gun unless I was there to supervise them. As far as I know, and from what they still say today, they never did.
Naturally I drilled safety into them from the beginning, did lots of familiarization training and handling long before they ever loaded a bullet, and stayed within arm's reach of each whenever they were allowed to load a gun and fire it.
We're not hunters, so all we did was target shoot on a range or plink in various places.
Safety was always paramount. Safety safety safety.
That satisfied their curiosity and helped them respect, not fear, guns.
In essence I tried to teach them guns are a vital tool for the survival and progress of the human race, and among the essential rights of free citizens.
All three are still comfortable with guns today. Responsibility, privilege, right, heritage, freedom -- they all go together. Plus pride in being able to responsibly incorporate guns into all the other fibers of modern life.
Today one daughter and her family have chosen not to have guns in their house, while my son and other daughter use guns for target shooting and home defense as I always have. I support however they choose to live, satisfied that I started them off with enough information to make whatever choice is best for them.
Sorry about the long-winded reply, but kids and guns is a topic that usually requires considerable explanation.