I have been to Disney World as a child and adult, but I am going for the first time with my own children. I have questions about what most people leave in the stoller when they go on rides. I have bought a cross-body bag to keep our valuables in, but can I leave other diaper-bag items in the basket? I plan to have a small backpack/cooler to keep the baby's bottles in and diapers, etc.? Do I need to worry about someone taking a bag like that?