Keep doing what your doing perfect!
I received a text during my flight confirming delivery to my room and a follow up telephone call while at the airport. Our groceries were delivered to our room before we arrived, so we could immediately begin enjoying Disneyworld. The service was excellent.
We used Garden Grocer for our family trip to Disney this year. The entire process was simple and very cost effective (even the natural and organic options)! We ordered on online about a week in advance and everything was delivered to our room Friday afternoon upon check-in! Would highly recommend!