Everyday construction and cleanout debris is welcome. The limits come from Illinois law and from what the receiving landfill is permitted to accept.
Illinois banned seventeen kinds of electronics from landfills outright. The list covers televisions, monitors, printers, computers, laptops and tablets, keyboards, mice, scanners, fax machines, DVD players and recorders, video recorders, portable music players, game consoles, small servers, digital converter boxes, and cable and satellite receivers. One of them in a full container can hold up the whole load, so pull them out first.
Compact fluorescent bulbs contain a little mercury and should not go to a landfill either. Set them aside with the electronics.
Hazardous waste is the hard line. The landfill that serves this area is not permitted to accept it at all, so paint thinners, solvents, pesticides, fuel, and pool chemicals have to go to a household hazardous waste collection instead. Liquids, asbestos, and pressurized tanks stay out of a standard container too.
Leftover latex paint is the one common exception, since it can go out with regular trash once it has fully hardened in a ventilated spot. If you are unsure about an item, ask your account manager before it goes over the rail.