Best Ways to Get Milk for a Toddler at Disney’s Port Orleans Riverside

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I’ll be traveling with my almost 2-year-old, who drinks milk once during the day and once at bedtime. We’re staying at Disney’s Port Orleans Riverside, and I’m worried about the mini-fridge not staying cold enough to keep milk fresh throughout our stay. Does anyone have tips or suggestions on how to easily get and store milk for my toddler’s bedtime cup at Port Orleans Riverside? I’d love to hear any tried-and-true methods or experiences from fellow parents!