Being from the UK we didn't know any grocery delivery services in the USA so took advice from people on TripAdvisor who recommended Garden Grocer now I'm recommending them to you.
We had always bought/brought groceries on our trips to WDW. This time we decided not to rent a car and try Garden Grocer instead. Not only did they have a wide selection of goods reasonably priced, but the ordering process was super easy. Before we left on our flight from New York, we received a text and phone call from Garden Grocer stating our groceries had been delivered to Bell Services of our hotel. All we had to do was check in and call Bell Services to bring it up to our room. No driving, no wasting vacation time grocery shopping and no carrying groceries from the car--what a relief ! I would definitely use them on our next trip .
My order was waiting for me on check-in, well-packed and complete, I received confirmation emails, texts, and a phone call. Thank you!