I found these guys (Ray Foley and partner) here on Judy's Book - which he had never heard of. His business card uses his name, not the "A+ A+ A+" name, which is probably just to get higher ranking alphabetically.
During the phone call, I described the items (very large old metal fireplace inserts/stoves), he gave a quote and time, and the next day showed up precisely on-time with helper. They must be great at leverage because Ray isn't a body builder or even close but they moved these incredibly-heavy items quickly, quietly, safely and without making a mess. They were very cautious to not damage anything.
I can't think of anything that would have made this experience better. A+ A+ A+ to A+!