yep, I always have brought protein-packed food along into the parks. I bring water bottles as well, one for each person. it'll be hot in sept, so freeze them and make sure they are large. You can't drag a cooler into the parks, but we go a couple of times a yr for about a decade (my inlaws live in FL)with fruit, baby carrots, almonds, cashews, water, nut butters on whole wheat bread, frozen yogurt sticks, etc in our backpacks, and have never had any problems. They search your bags for explosives at the gate
but aren't looking for cheese sticks, and don't care abou 'em yk?
We get ice cream in the park that we enjoy during the parade but no souveniers or meals. We do eat one dinner somewhere (I think we wasted our money at Rainforest Cafe last time) one night. Breakafast is obviously in the hotel room. Cheese, whole wheat bread, cereal, and since you have a kitchen you can dose them up with mega protein like eggs etc. Tired, cranky & low blood sugar people crabbing on vacation bites.