Everyday household and construction debris is fine. The limits come from California law and from what the landfill accepts at the scale.
California treats hazardous waste as illegal to put in the garbage at all. That covers paint of either kind, solvents and thinners, pesticides, pool chemicals, antifreeze, motor oil and filters, non-empty aerosol cans, and propane tanks and other compressed gas cylinders. Fluorescent tubes, LED lamps, and every kind of battery are out as well.
Electronics can't go in the trash either. Televisions, monitors, laptops, computer towers, printers, radios, and microwaves all need a separate route, and the county landfill takes electronic waste free during its open hours.
Two building materials deserve extra attention on a North County remodel. Treated wood with preservatives in it has to be handled as hazardous waste, and the landfill takes it only as a segregated load on set mornings. Asbestos needs a manifest and a special handling arrangement. Tires are barred from regular trash too.
Holding something you can't classify? Ask your account manager before it goes in the container.