Insurance companies like clients who never had to file claims because they got involved in an accident.
If you live in California, you can check the internet for cheap California auto insurance quotes.
And you want to make sure you can take advantage of this non accident discount too by telling your representative that you have a clean driving record.
The company which your car is insured with will be happy to oblige. After all, all they do is send you six- or twelve-month premium bill, collect and cash your payments.
You also get auto insurance savings when you combine your auto insurance with your house insurance in the same company. You can discuss this with your agent if such discount is available.