We first looked for companies that received an "A-" or better (“strong”) from A.M. Best, a rating agency specifically focused on the insurance industry. Then, because the III recommends getting ratings from more than one agency, the best needed to earn at least an "AA-" (“very strong”) from S&P Global or an "Aa3" (“excellent”) or higher from Moody’s.
Insurance comparison websites can be further broken down into sites that provide real-time insurance quotes versus those that provide estimated ones. Estimated quotes are derived from historic data and are often out of date; to get the most accurate information you should use a site that provides real-time quotes generated by the insurance companies.
I was with Liberty Mutual for about 15 years and was very satisfied with their prices and service, although I never filed a claim. When I retired and moved from California to Florida, my auto rate went up a ridiculous amount, to almost $10,000 a year even though I had no accidents and one minor moving violation in the last ten years. On top of that, Liberty Mutual screwed up my umbrella policy and told me it was “unenforceable,” whatever that means, but I had to pay for the policy anyway up to the time I canceled and switched to Progressive, which cost about one third the cost of Liberty Mutual for an identical policy. Even good companies change over time.