Most household junk and building debris is fine to load. The limits come from Minnesota law and from the facility that takes your load.
Minnesota keeps several items out of the trash. State law bars any TV or monitor with a picture tube from household waste. Yard waste like grass, leaves, and brush can't go in the trash or a disposal facility in the Twin Cities metro area. The Minnesota Pollution Control Agency also treats tires, car batteries, and vehicle fluids as their own waste streams.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster.
Many of these items have a place to go. The county hazardous waste facility takes paint, chemicals, electronics, tires, and appliances, some for a small fee.
If you're unsure about an item, ask your account manager before you load it.