I have five children ages 9 down to an infant and they all enjoy King's Island. We never had to pay for admission and we got to park in VIP parking, so I'm not sure about price or parking issues. The park itself was always very clean and there were a lot of things for all of the kids to do.
I have children ages 9 down to 3 months and they all enjoy the museum. We have a family pass because we can never get through everything in one visit. It's a better experience for us if focus on 3-4 exhibits and come back for more later. It's really clean and well organized.