RE: What age is the right age to start hunting?
As soon as they pop out start taking them hunting.
As far as carrying or taking a weapon, start small...I'd say around 8-10 once they can understand the responsibility it takes handling a weapon. Give em a bb gun or something. Later on, once they prove to you they're responsible, up the gun to a shotgun or something. Then when they are 16 and on their own, they can go hunting by themselves without you around.