Hi, I would take your own stroller,something for a fever, juice boxes to carry with you, SUNSCREEN and even a hat, light weight clothing, sandles they are cooler then sneakers. I went at the end of August and it was HOT. My son was 2 when we went. We were out on a boat and I didn't realize how hot he was until we got off and he had sweat pouring down his face, I am still upset that I didn't realize he was so hot. There was a breeze on the boat so I just didn't think. So point being even if there is a breeze don't assume he is OK. Each park has a Baby Station look for it and use it to change diapers, feed or just to take a break, it will be cool in there and I think there is even a TV.
Have a Great Time.
Maria