Most remodeling and cleanout debris can go in your container. The limits come from South Carolina's landfill rules and from what the Richland County landfill will accept.
South Carolina keeps several items out of regular landfill loads. Used motor oil can't go in with household waste. Tires, car batteries, and large appliances like refrigerators and washers have their own disposal rules. The state also bars computers, monitors, printers, and TVs from any waste headed to a landfill.
On top of that, keep hazardous waste, liquids, paint, solvents, fuel, and asbestos out of a standard dumpster.
The county's C&D landfill turns away household garbage, clothing and shoes, auto parts, railroad ties, and creosote-treated utility poles. For electronics, the City takes computers, TVs, and anything that plugs in at its Public Works drop-off on Colonial Drive, weekdays from 8 a.m. to 5 p.m. That site also takes batteries that aren't leaking.
When you're not sure about an item, ask your account manager before you toss it in.