Ordinary remodel and cleanout debris loads without trouble: framing lumber, drywall, plaster, lath, flooring, roofing, tile, cabinets, doors, windows, furniture, carpet, and cardboard are all fine, and clean brick and concrete go in the smallest unit.
Kansas law is firm about tires. The state bars putting waste tires in a landfill as a final disposal route, with narrow exceptions the state's own agency has to authorize for processed tires. Kansas also makes it unlawful to hand waste tires to anyone who does not hold a state permit for them, and that duty reaches the customer arranging the work, not just the hauler. So tires come out before the container is loaded and get mentioned when you book.
Hazardous material is out as well, and Prairie Village writes it out of its own waste definition by name: pesticides, acids, caustics, radioactive material, flammable and explosive material, oils, and solvents. Wet paint, fuel, pool chemicals, asbestos-containing material, and liquids of any kind stay out of a standard container. Johnson County runs an appointment-only drop-off for household hazardous material on Mastin Street in Overland Park, and the City of Olathe runs a second site on South Robinson Drive.
Burning is not an alternative either. Prairie Village bars disposing of refuse by open burning anywhere in the city.
If an item is borderline, a half can of stain, an old water heater, a sealed drum, ask your account manager before it goes in.