Greetings, Jaimie!
Welcome to the Disney Parks Moms Panel, and thanks for bringing us your great question. I can't wait for you to make magical memories at the Happiest Place on Earth. Disneyland Resort is very accommodating to nursing mothers. In both Disneyland Park and Disney California Adventure Park you will find convenient
Baby Care Centers with private areas for nursing or pumping. Unfortunately there is not a place to store your breast milk specifically, but I do have some ideas for you which I have used myself on my vacations.
If you are staying at a
Disneyland Resort Hotel, all rooms come with mini fridges perfect for storing milk during the day. If this isn't an option, I suggest bringing a small cooler that can fit in one of the
Locker Rentals located in either park. I love that with these locker you only pay one low fee but can access your locker the entire day as many times as you'd like. You can bring your own ice pack or grab complimentary ice cups from Quick Service restaurant locations throughout the parks to keep your milk cold. If you plan on bringing your own breast pump, this would be the perfect place to store it as well. As a nursing mom, don't forget to also stay extra hydrated at the parks. There are many
drinking fountains as well as complimentary ice water cups at Quick Service locations.
I hope this helps, and please return if you have any other questions. Have a Zip-a-Dee-Doo-Dah day!
-Jennifer