Hello Sarah,
Thank you for stopping by the Disney Parks Moms Panel with your question. Planning a Walt Disney World vacation can be made less stressful with a little careful planning and research. You are going to love Disney's Contemporary Resort. My family sure enjoyed our stays at that resort, especially with the convenience of walking to and from Magic Kingdom without having to wait for transportation.
While a "diaper package" service is not available at the Walt Disney World Resort hotels, diapers are sold in the retail shops in the resort hotels. Diapers along with other baby care items such as formula, diaper cream, and baby food are also sold in the
Baby Care Centers in the four theme parks. See the attached video for more information. These also provide a quiet place to escape the hustle and bustle of the crowds when the little one needs a nap, feeding, or a diaper changed.
Another option is ordering diapers and other baby care items from a grocery delivery service. I have used gardengrocer.com and had a great experience. They were able to deliver my items to my resort hotel and the bell services held my items until my return. The bell stand is even able to refrigerate items such as milk and yogurts, if needed. Please keep in mind that these delivery services could have a minimum order amount and applicable delivery charges.
I hope this helps in your planning process. Have a magical trip making memories to last forever. Feel free to come back to us if more questions arise.
~Allison L