Lumber, drywall, plaster, shingles, flooring, cabinets, furniture, and general cleanout junk are all normal container loads. The limits come from Minnesota law and from county practice.
Minnesota names several items that may not go into ordinary household trash. The state's own waste rules list tires, motor and vehicle fluids and filters, lead acid batteries, yard waste, and major appliances among the materials banned from mixed municipal waste. Set those aside before you start loading.
Ramsey County gives those items their own home. The county's Environmental Center takes household hazardous waste, electronics, small appliances, scrap metal, food scraps, and household recycling, free for residents, and its hotline answers on 651-633-3279.
Hazardous waste, liquids, paint, solvents, and fuel can never go in a standard container. Neither can asbestos, which needs licensed abatement before demolition debris leaves the site.
Yard waste matters more here than in many states, since it is banned from the trash outright. Keep brush, leaves, and grass out of the container and use a county yard waste site instead. If an item has you guessing, ask your account manager before it goes in.