Hi, Elizabeth!
While my kids are older now, I did take them when one was 3 and the other 8 months. I found my double stroller to be a necessity. My little guy stayed in the back seat and my 3 year old daughter was in the front so she could easily hop in and out of the stroller. The large basket underneath was perfect for diaper bags, snack items, and all the "stuff" you need with kids!
You will have to fold your stroller before boarding buses, so I would take the baby and the large diaper bag and get on the bus with my daughter while my husband would fold the stroller and carry it on for us. You will get into quite a routine in no time! I really liked having my own stroller from home because I was used to folding it and I knew the kids would be comfortable in it.
When you enter each park, make sure to locate the
Baby Care Center. These Centers are fantastic for feedings and changings. They are so clean and such a great place to take a break with your baby!
My stroller days are long gone with my kids now 12 and 9, but I have such great memories of them in the parks when they were little! Take lots of pictures and enjoy all the magic with them!