Most household and building debris is fine. Arizona law and the county landfill set the limits.
Arizona bans lead acid batteries, such as car and boat batteries, from landfills. Landfill operators can't knowingly accept them either. Waste tires are also kept out of landfills under state law, with narrow exceptions, so pull tires before the container is hauled.
Standard exclusions apply too. Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster.
A few local details help. The county charges a separate fee for each appliance that holds refrigerant, like a fridge or window unit. The City's own trash service keeps concrete, dirt, rock, sand, and construction debris out of household carts, which is one reason a dumpster works well for these jobs.
Before you add anything you're unsure about, check with your account manager.