Most household and construction debris is fine. California's hazardous waste rules and local facility policies set the limits.
California makes it illegal to put hazardous waste in the garbage. That covers all batteries, fluorescent and LED lamps, latex and oil-based paint, solvents, pesticides, antifreeze, motor oil and filters, tires, asbestos, treated wood, propane cylinders, mercury thermostats, and electronics like TVs, monitors, laptops, and cell phones.
Liquids and fuel can't go in a standard dumpster either.
Local disposal sites also turn away creosote-treated wood like old telephone poles and railroad ties, pressure-treated wood, engines, fuel tanks, and contaminated soil. Mattresses, appliances, and tires are usually accepted but charged by the piece, so list them when you book.
If you're unsure about an item, ask your account manager before it goes in.