Lumber, drywall, shingles, flooring, cabinets, trim, doors, carpet, furniture, and general cleanout junk all belong in a roll-off.
Asbestos is the material to plan for first. The Oklahoma Department of Environmental Quality only lets certain landfills take regulated asbestos, and it publishes the list county by county. Older Duncan houses can hide it in floor tile, pipe wrap, and siding, so a licensed abatement contractor handles that, not a container.
Tires have their own route. Oklahoma has run a statewide used tire recycling program since 1989 specifically to keep scrap tires out of dumps, so keep them separate and tell us the count.
Hazardous waste, liquids, paint, solvents, and fuel stay out of every container. So do car batteries and anything still holding fuel or oil.
Duncan's own rules point in the same direction. The city code's definition of trash deliberately leaves out building waste, tree trimmings, grasses, rocks, and similar material, and a container holding anything other than household garbage and trash will not be collected at the curb. Loose bags are also capped at 50 pounds.
If an item on your list looks questionable, raise it with your account manager before loading day.