Nothing across the river? Such a divided city! As a Westsider, I would add Jennings State Forest, Black Creek Ravines Conservation Area, Camp Milton Historic Preserve, Ringhaver Park, and Tillie Fowler Regional Park, just off the top of my head. I'm not entirely sure where to draw the line for "kid-friendly" because from the age of 5 I was doing 16 mile day-hikes and backpacking, often in mountainous terrain, and I found it very "kid-friendly" myself. I have one 5-year-old niece who seems to enjoy it as much as I did.