I know this is of absolutely no help to you in your current situation, but this is what I use for the heavy stuff....
Not the dog, he wasnt worth a crap at handling appliances

, its just the only picture of the truck I had handy. But in all seriousness, without at least a small pickup, the appliances will be quite a challenge for you. I can get pretty much any modern appliance on my pickup bed by myself if need be, though I try to grab them while I'm out with the rollback car-hauler pictured above if I can. Taking them apart on site would be a pain, but you gotta do what you gotta do. It takes a blue million appliances to really make any weight, I use one of those clamshell buckets on a John Deere tractor to mash them up after I get the motors/copper lines out of them, then take a big trailer load when I have enough. Best of luck!
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