This is the policy bellow but the bottom line is they want the guest to feel safe and secure and for everybody to come back and spend money. They will be polite if they see it so the main thing is keep it out of sight and you will be alright. Have a killer time and just plan accordingly.


Description
Certain items are not permitted into the Theme Parks and Downtown Disney. This includes, but is not limited to:

Wagons, skateboards, scooters, inline skates, and shoes with built-in wheels
Any trailer like object that is pushed or towed by an ECV, wheelchair, or stroller
Note: Guests are not permitted to pull items behind them. Any item that requires a Guest to pull it behind him, including a stroller, is not permitted into the Park.
Suitcases, coolers, or backpacks with or without wheels larger than 24" length x 15" width x 18" height (which mirrors the large locker sizes)
Note: Coolers required for medication may be stored in a locker or at First Aid.
Strollers larger than 36" x 52" (which mirrors the rental stroller sizes)
Weapons of any kind
Alcoholic beverages and any illegal substances
Folding chairs, except certain portable seats that can be used as mobility aids
Glass containers (excluding baby food jars and perfume bottles)
Pets are not allowed. Service animals are permitted.
At Disney's Animal Kingdom (for the safety of the wildlife), balloons, straws, and lids are not permitted
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Failure is not an option!
USMC Jungle Environmental Survival Training PI 1985