I used WeGoShop.com and was really pleased. We placed our order before we left for the World (staying at Saratoga Springs). The delivery was exactly on time, so there was no hanging around the hotel room waiting. They were very friendly and the price for the service was very reasonable.
I think the "grocery order forms" are for Disney Vacation Club resorts only. I know Saratoga Springs had one available, but it was really expensive. It was much cheaper to pay for the delivery service, which charged the cost of the groceries (which were "normal" prices) and a small delivery fee.