I think that children should start on "scouting" trips with no firearms present. As soon as their interest begins to wonder, call it a day. If you force the issue, it will cease to be fun and they will want to avoid the trips.

Take them on actual small game hunts (with you as the hunter) These may be short hunts. End with some target shooting as the reward for their efforts.

Big game hunts (with you as the hunter) when they can sit still for a reasonable time. Even when the reach the age when they can hunt, even if they pass a hunter education course, they should be under close supervision. Adults make mistakes because of the excitement of the moment. It has to be assumed that young folks are even more likely to do so.

Eventually, they will hold their own firearm with you hunting nearby. Then hunt on their own.

You are responsible for your childs safety as well as that of the other hunters in the woods. That is the way I was taught and it has stood the test of time.