I would definitely take my own stroller. We did that when our kids were younger and we were so glad we had. From the airport, to the hotel (we've always stayed at the GF) to the parks etc., it was always a good thing. It was nice not to stand in lines to rent strollers, our stroller was always clean, we didn't have to hold sleeping children while on the way to the park, we had a place to store souvenirs/cameras etc. while on the way to and from the park etc. My own stroller is also much more comfortable then the hard, plastic rentable strollers that don't recline as much.