We had our insurance with Hartford (through AARP) and they jacked the price on the house insurance this year so we went shopping. Saved considerable over the old rate (and made the large increase they had tacked on go away). Car insurance was slightly higher, though...
My wife found an online broker who seemed really competent at cross-shopping policies and carriers--and we moved both to Travelers. They're called Policy Genius:
https://www.policygenius.com/