@Marieke48
Hi! Retired insurance agent & host here, we have our insurance through State Farm. It is a landlord's policy. It covers major damage and loss of income while repairs are completed. We have a pretty high deductible to help keep premiums down to an affordable level.
You will want to talk to your agent about increasing your Homeowners' to cover your personal liability, and consider an umbrella policy. We live in Arizona now, we lived in CA about 10 years ago when I had my CA insurance license through State Farm. Things could have changed in CA since then.
Ted & Chris