I honestly feel if you are using the buses you should rent a stroller at the parks, unless you have a small umbrella type, the take up huge amounts of room on the bus and it never fails they end up slamming into someone else during the trip. As you said the umbrella is not real comfortable for the child. And to the person making the crack about a 10 year old in a stroller, the OP never said she was putting her 10 year old in a stroller, but if the did so what? 10 year olds get tired, its a lot of walking so if they fit in the stroller who cares?