Are bundles the best

My wife and I have always thought that we would get the cheapest auto insurance by bundling it together with our homeowner insurance.  So that is what we’ve been doing ever since we got married.  Recently we’ve been talking about trying to reduce our expenses and I’ve been shopping around for lower interest rates.  Since our oldest son got a speeding ticket three years ago, I’m afraid that changing companies at this time will only increase our premiums.