As Richard and Tim allude to:
I love spending as much time as I can with my five year old. Late on Sundays we try to get out about an hour before the sun goes down for a very fast 6-9 holes at the local course. They let me take out a cart and Beniamino rides shotgun (and, when we're out of sight, he sometimes steers.) He'll finish off the short putts for me, chip on when I got it close enough, have a couple of drives off the tee, and mostly runs around and chases the geese and looks for fish and frogs in the ponds. As the years go on, and if he still wants to come out and play, I know one thing for sure: I'd join any course that also had a child's/beginner's course, 6-9 holes, and where they dedicated one staff person/ass't pro just to guide children along. I'd play 9 holes on the big course, and he could play 9 on the short course, and then we'd have lunch or dinner together. And when he weas ready/old enough, we'd play the big course together. I imagine I'm in the same boat as a lot of golfers these days, i.e. if a course wants me to come out and play golf more than once or twice a month, they'll have to make room (and welcome) my son.
Peter