Hi,
Definitely call your TC service ahead of time( a day or two before also confirming your reservation) and let them know you want to do a full grocery stop .
On our first trip w/ another service with a planned grocery stop ,the driver tried to take us to a 7-11.
We told him we prefered a supermarket as we could not get everything we needed there and did not want to pay convienence store prices.( He grudgingly did so) They really do need to know,I think, so they can allow time for other airport pick-ups.
So double -check WHERE the stop will be also.
As far as the Frig.
Here's info from our TC service:
"If you need a fridge while you are visiting let us know. We deliver the units to your resort and leave them with the bell staff, we will call in the tag number and when you arrive you just call them and ask for it to be brought up to your room. On check out you simply advise the bell staff that we will be picking the fridge up from them.
The cost is $6 p/day for the size that WDW offers (1.7 cubic footer, a small cube in shape), and $8 for the 4.4 cubic footer (this is large and is a proper fridge). And also a limited number of Microwaves @ $4.95 per day. There is an additional one -time $10 delivery/pickup fee and tax. This will be charged to your credit card. "
WE have done this on our longer(10-12 days) stays (with more groceries to refrigerate)at the Moderate Resorts, and it worked fine.
Last I heard WDW had raised the price for the mini-frig from $6. a day to $10. I'm not sure if it went up again.
someone else will know here. I'm sure.
These are very small and,if you're planning on using the freezer to freeze water bottles, frozen foods or icecream ,we found they were not cold enough to do the job.
As a protest of sorts against the raised prices
for OLD frigs. at WDW Resorts,

LOL,
we have also brought a lg. collapsible cooler (Folds flat)in our luggage and lots of gallon size Zip-Lock bags with us.
The zip-lock bags are great because as the ice melts, the water is contained in the bag and everythings not a soaking mess.
WE would just fill these ziplock bags from the ice machines each morning and at night(make sure they are the ones w/ the Slide -over clip on top)
We kept the cooler in the bathtub.
You can also just buy a styrofoam cooler at the Grocery stop and leave it behind.
OR as we've done a few times w/ leftover unopened snacks and fruit, looked for a family w/ kids checking in when we were checking out and offered it all to them. They were very appreciative .
Where are you staying?
I'm not sure about the Deluxes, but at the Dolphin on our last trip we were able to empty out their mini bar frig. and put our stuff in.
Hope this helps you and others- That ten dollars a night can buy a nice dinner or many snacks!
Plus avoid all that tipping for delivery of frig. to your room!!!LOL
If you have any other questions feel free to e-mail or PM me.
Have a great Trip, Maray