If you take the bus you will load your family (and stroller) on the bus and ride to the Studios where you will unload and walk into the park. If you take your rental car you will load your family (and stroller) into your car, then unload everyone/thing at the parking lot and then reload onto the shuttle from the parking lot to the park where you will then unload everything/one to walk into the park. With the car you guarantee that everyone will have a seat. If you ride the bus, you may or may not depending on the number of folks on the bus. At the end of the day you will then have to do everything in reverse and again you may/may not have a seat on the bus. Also, you may or may not have a wait for both the bus or the shuttle. Guess you have to decide which would be less stressful for you. I personally like the buses..... only load and unload once. Good luck!!