Most remodel and cleanout material is fine. The hard limits come from New Hampshire law, and they apply at every landfill and incinerator in the state.
State law bars wet-cell batteries, lithium-ion batteries, and electronic devices from any New Hampshire landfill or incinerator. Facilities have to post that ban or warn their customers about it, which is exactly why a load with a TV or a cordless tool pack in it can get turned away at the gate. Leaves and yard waste are banned from landfill disposal too, and since early 2025 large food waste generators have had to divert it when a composting or digestion site is within reach.
Hazardous waste, liquids, wet paint, solvents, fuel, and asbestos stay out of a standard container, always. Asbestos in particular is excluded from the state's definition of construction debris, so it can't ride along in a construction load.
New Hampshire also defines construction and demolition debris narrowly. Bricks, concrete, masonry, wood, wall coverings, plaster, drywall, plumbing, fixtures, non-asbestos insulation and shingles, asphalt pavement, and glass all count. Household trash, cardboard, furniture, appliances, tires, drums, and fuel tanks do not. Mixing those in changes what your load is and where it can go.
If you're holding something and can't tell which bucket it falls in, ask your account manager before it goes in the container.