Most building and household debris is fine. The limits come from Ohio's rules and from the private facility receiving your load.
An Ohio construction and demolition landfill can take building debris but not household trash, yard waste, furniture or appliances, and it cannot take liquids, fuel tanks, drums, tires or batteries of any kind. So a load that mixes remodeling debris with cleanout junk may need a different destination than a clean demolition load, and telling us the mix up front avoids a rejected load.
Ohio also bars whole tires from landfill by name. Tires have to be recycled, and they need to come out of the container before pickup.
There is a commingling rule that matters on any demolition job. Ohio defines clean hard fill narrowly, as only concrete, asphalt concrete, brick, block, tile and stone. The moment other waste is mixed in with clean hard fill, every bit of the material has to be handled and disposed of as solid waste or as construction and demolition debris. Keeping masonry in its own container is therefore not just tidy, it changes how the whole load is treated.
Hazardous waste, liquids, paint, solvents, fuel and asbestos stay out of a standard container, and asbestos needs licensed abatement before any demolition begins. The City's own collection is residential only and will not solve a construction job. Ask your account manager about anything questionable before loading.