Leave it to the room gods. I've stayed in the far room in the 50's and the other end of the 70's. It's not a far walk. Now, it might be after a long day and you plan on walking back and forth.
If you plan getting the refillable mugs ~ here's how I saved on trips to the room and got bang for my buck on the mugs. Grab breakfast at the foodcourt or if you bring your own like (Pop Tarts - got to have Pop Tarts at Pop) still eat in the food court. Fill mug with juice or coffee. After you're done, rinse mug at the 'clean mug' station (there's hot water and paper towels) Refill with your choice of pop and head to the bus. (some bus drivers don't want you drinking on bus but it's ok to have it as long as lid is on) You can also take it into the parks but usually mine is gone before I go thru the turnstyle. Then I empty the ice out and give it a good shake. Snap the lid on, close it, and clip to my belt or purse with carabiner clip. When I get back to the resort whether it's mid day or late I at night, I fill up with my favorite beverage to take to my room.
Enjoy your trip!