Most construction and cleanout debris is welcome. The limits come from the two City facilities and from what the City refuses in a container.
Nothing hazardous goes in, and that's enforced at the gate. The landfill turns away hazardous material, oils and oil filters, and vehicle tires of every type. Paint, solvents, fuel, pesticides, and chemicals belong at a household hazardous waste collection instead.
Appliances with refrigerant need a professional. Refrigerators and air conditioners are accepted only once the refrigerant has been removed by a certified technician and the unit is tagged to show it.
Batteries, liquid paint, and tires stay out of a container as well, and so does anything that can't be leveled below the rim, since the load has to be covered for the haul.
The transfer station and the landfill divide the work. Shingles, dirt, concrete, and construction debris are refused at the transfer station and taken at the landfill, which is why a sorted load moves faster. Ask your account manager about anything you're not sure of before it goes in.