My kids were still in booster seats when they started tagging along. We'd walk around, looking, calling, and checking stuff out. Most often being too noisy asking questions or shouting about tracks, rubs or poop to see anything but squirrels, but a walk in the woods can be quite peaceful. They learned as they grew. From gophers to rabbits to chickens to deer and moose, they've done it all.
My oldest daughter is now 18. She has her hunter safety, PAL and loves to shoot, but hates early mornings and cold weather. We go for gophers. She owns a .22 that was once mine.
Her younger sister is now 16, has hunter safety and minors permit and will go hunting or shooting at the drop of a hat. Any species, any time. She owns 2 .22's, one from me and one she purchased. She is saving up for her own rifle, since she is a lefty. We also go to the handgun range.
My son is now 9. He hates that he has to wait a couple more years for hunter ed. He has a .22 from me and one from his grandfather, as well as a model 1894 saddle ring carbine, also from Gramps. He shoots often, gophers and whatnot. Magpies with his air rifle etc. I load reduced recoil loads for the 30-30 so he can enjoy it without being kicked around. He has had some range time now too and is currently saving up for "his own" handgun. He also enjoys helping me reload. (with strict supervision) He realizes that shooting isn't just the noisy part, and can be expensive as well.
If they have interest, you'll know.
Brad
If the