Had ComEd out today anyway (didn't cancel the appointment I had made), and they took it! Yay!
I was at work, but had removed the railing from the staircase, instructed both of my sons on how to remove the doors (both refrigerator and house), plugged it in to make sure it worked (a requirement from ComEd). Their movers apparently used a blanket and some kind of moving strap (good call Dan!). One of them commented on how heavy it was ("this is all metal, not like they build them today").