Most renovation and cleanout debris is acceptable. Two separate lists narrow it: California's hazardous waste rules and the receiving station's own refusals.
California bars a long list of household items from the trash. The state's waste banned from the trash page covers paint of every kind, solvents and thinners, pesticides, pool chemicals, motor oil, antifreeze, and part-full aerosol cans, plus every type of battery, fluorescent tubes, LED bulbs, and propane cylinders. Asbestos is banned outright. Electronics, meaning televisions, monitors, computers, printers, microwaves, and phones, are all excluded.
Treated wood is the one that catches local projects. Under state rules, wood treated with preservatives has to be managed as hazardous waste, and the regional transfer station refuses it by name, listing treated fencing, treated decking, railroad ties, and pilings. Old fence panels and deck boards from a 1970s Cupertino back yard often fall into this category, so plan for them separately. Liquids are refused at the station as well.
Tires are the exception that runs the other way. They cannot go in ordinary trash under state rules, but the regional station does accept them, so they have a lawful route here as long as they are not buried in a mixed load. When something is borderline, ask your account manager before it goes in the container.