I used to move furniture and I much preferred the type of straps that would wrap around your wrists, under the appliance, to the other lifter's wrists over the furniture dollies.
We tended to always be labor-short for deliveries, so if we could send a job out with one person we would. A single person can safely deliver most household appliances with just a furniture dolly (up to a side-by-side fridge, which almost always needed two people due to its mass and a set of tools to remove the doors).