We are also currently with GEICO for both auto and home insurance. At the suggestion of a friend, we recently got quotes from policygenius.com (an online broker) for equivalent coverage. They found us several better deals, including one that is $2000/year lower! I could hardly believe it--I read through all the coverage details, believe me!
They are brokers, so they get paid by the insurance companies. They don't deal with all companies (e.g. they don't write with Erie, which was also recommended by another friend), but they do include at least some of the big names, if that matters to you.