Insurance After Trustee Sale

I'm a junior bene who took the property to Trustee Sale Friday and no one bid, so now it's mine. This is a first actually going to sale, so not sure what to do about the insurance. I was named as a lien holder before, but now want to make sure if anything happens I am covered, not the previous owner. It is still occupied for now by the foreclosed homeowner. What's the best/easiest way to get insured without causing any problems with what is currently in place? (property is in LA County).