Most household and remodeling debris can go in your container. California's rules on hazardous waste and the landfill that takes your load set the limits.
California makes it illegal to put hazardous waste in the garbage. That list, from CalRecycle, is longer than in most states. It includes all batteries, fluorescent tubes and LED bulbs, latex and oil-based paint, solvents, pesticides, pool chemicals, antifreeze, motor oil and filters, and propane tanks.
Several building materials are on the list too. Asbestos and chemically treated wood must be handled as hazardous waste, and older caulk and light ballasts can contain PCBs. Tires aren't hazardous, but California still bans them from the trash.
Electronics also stay out, including TVs, monitors, computers, and microwaves. Pull those items before you load, and mention appliances when you book.
If you're unsure about an item, ask your account manager before it goes in.