Most debris from a remodel or cleanout can go in. New York's disposal rules and the receiving facility's limits set the boundaries.
Electronics are the big one. The New York State Department of Environmental Conservation says that since January 1, 2015, you can't throw away certain electronics in landfills, waste-to-energy plants, or the trash. That covers TVs and monitors with screens larger than 4 inches, computers, printers, and similar equipment.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster. Tires and appliances that hold refrigerant need their own handling, so pull them out or mention them when you book.
The City's Recycling Center takes electronics and empty propane barbecue tanks from Yonkers residents, so those are easy to keep out of your container.
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