Dear Kaitlyn,
As you know, both Parks have a
Baby Care Center, which is ideal to nurse or pump because they offer private rooms in a quiet and peaceful setting.
In terms of storing your breast milk, my recommendation is that you bring a small cooler and
rent out a locker. That's because unless you're staying at a
Disneyland Resort Hotel, where each room has a mini-fridge, there is no public refrigerator available for guests to use.
Coolers are allowed inside the Parks, as long as they're small-to-medium sized (
Park rules say they shouldn't exceed the size of a twelve pack). Further, you are able to request a free cup of ice from any quick-service restaurant at the Disneyland Resort.
So here's what I recommend: bring you cooler, rent a locker for the day to store your cooler (there are five different locker options available). When you're done pumping, head back to the locker room to place your milk inside the cooler. You can request a cup of ice from any quick-service dining location on your way to the locker room so the milk stays cold.
At Disneyland, the locker room isn't too far from the Baby Care Center. My suggestion is that you walk across the way to the Carnation Café, pick up some ice, head to the locker room and store your milk. Hey, you may even catch the
Dapper Dans serenading the crowds on your way there!
I hope this helps.
Have a Magical time and thanks for stopping by the Disney Parks Moms Panel!
-Anabel M.