Most renovation and cleanout debris is fine to load. The limits come from state recycling programs and from the rules at the receiving site.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos stay out of a standard container. Summit's own yard lists the same household hazards among the things it refuses: oil and latex paint, cleaners, pesticides, antifreeze, gasoline, kerosene, and thermostats. Union County holds collection days for those items, so set them aside.
Electronics have a free route. The New Jersey Department of Environmental Protection runs a program that recycles televisions, computers, monitors, laptops, printers, and fax machines at no charge, so there is no reason to toss them in a container.
Tires, refrigerators, freezers, air conditioners, and propane tanks also need separate handling, so mention them when you book. If something on your list has you unsure, ask your account manager before it goes in.