Most construction and cleanout debris is fine. California's disposal rules and the landfill that takes your load set the limits.
The state is strict about household hazardous waste. CalRecycle says it's against the law to throw hazardous waste in the garbage. That list covers batteries of every kind, fluorescent tubes and bulbs, paint, solvents, pesticides, pool chemicals, motor oil, and antifreeze.
Some building materials and electronics fall under the same rules. Asbestos, treated wood, TVs, computers, phones, and mercury thermostats all need a special drop-off, not a dumpster.
Liquids, fuel, and gas cylinders can't go in a standard dumpster either. Pull out mattresses, tires, and Freon appliances and mention them when you book, since landfills charge for them by the piece.
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