Whenever I hear of someone going to disney, I encourage them to use garden grocer.
This is a great service and I highly recommend it. We got the drinks and snacks that we wanted/needed without having to take a taxi. The delivery was made on time and everything was well packaged. This is definitely the way to go especially if you have a DP addict and are staying on DIsney Property!
Garden Grocer is a good option if you need groceries on your vacation but haven't rented a car.