When my kid was that age, I carried my Glock 26 unchambered.
I practised that method, and carried all the time like that for a couple years. I even shot IDPA type stuff like that.
One concern I had is if I fell down and hit my head and was unconscious, and the kid started to see what was wrong with me or whatever. There are a lot of hours in a day, and days in a year. If you actually carry all the time, stuff happens. I estimated the odds of me needing the quicker advantage of being chambered as being less likely than needing to prevent a child caused AD.
As he was growing, I also taught him gun safety. Eventually I made the switch back to chambered carry, when I thought I could trust him.
You as the parent have to do what you think is best for you and your family in whatever your own particular situation is