We brought a backpack coolers. I'm not sure if you can bring a big one. If you have a stroller you can put it in there.
I'm not sure you can carry it. The truth is that you can put food and drinks, plus there are drinking fountains throughout the park.
Saw family pulling one on wheels, yesterday.
Check the website, if it's not on a forbidden object list, it's allowed.however, if you have the intention of taking alcoholic beverages into the park in large amounts they might suspect that there's a party coming and that's not their idea.
A small cooler, yes, but not one on wheels. Be prepared for long bag check lines where they dig through it, though.
No, but in your backpack you can bring frozen juices and water
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