My Tips - on the day you are going to move a frig - go to home depot and rent their truck with the liftgate.  Also rent a good dolly 2 wheel truck at the same time.  Grab a friend that has some muscle to spare.  Take a bunch of blankets so you don't put and dents or scratches in it.  Move old frig out into the garage for future keg-orator project and extra beverage holder.
Also make sure to measure the place you are going to put the new frig - the last thing you want is for it not to fit.
This plan worked out very nicely.  Had the Home Depot truck and dolly back to them in about 2-3 hours.