Ordinary construction and household debris is welcome. The limits here come from the landfill that takes the load, and the district publishes them clearly.
Start with the obvious: hazardous waste, liquids, paint, solvents, fuel, used oil, and asbestos never belong in a standard container. Utah's Department of Environmental Quality notes that between 5 and 15 percent of what households throw away holds hazardous substances, which is why the district runs a separate drop-off for it.
That drop-off, at the landfill, takes paint, thinner, antifreeze, gasoline, kerosene, motor oil up to five gallons, cleaners, pesticides, propane tanks, and car batteries free of charge from district households, in containers no larger than five gallons. It is open to residents only. Businesses and anyone from outside Davis or Morgan County get sent to a commercial hazardous waste facility instead.
Electronics go to the same drop-off, with limits: no more than six of any one item, and nothing over 300 watt hours or 12 inches for batteries. Appliances and light bulbs are not accepted there at all.
A few items ride in the container but carry their own charge at the gate: tires at $4.00 each, refrigerators at $15.00 each, and mattresses and box springs at $15.00 a piece. Declare those when you book and your account manager will build them into your quote rather than leaving them as a surprise.