Move / update appliances to/in rental property

The fridge in my rental is having an issue w/ defrosting in freezer. Appliance contractor said it can't be fixed due to a small crack on door, letting warm air in.

My wife has been complaining about the fridge we have in our kitchen.
So my plan was to buy a new one to make her happy, and move the one we have now to the rental, to make tenants happy, killing two birds w/ one stone.
I may do the same thing w/ our washer & dryer.

Found out Sears & BestBuy can haul away old fridge, but not MOVE it to a different address. I was going to give the delivery guy $40 to move (rental is very close, only several stop signs away), but BestBuy told me they have contracts w/ the delivery people that prohibits them from doing such a thing.
A local mover wants to charge $260, which seems a lot for such a short move.

Has anyone been able to do what I want to achieve?
How did you do it?

Thanks in advance.
Kevin