Whoa. Thank goodness I decided to start researching auto insurance before we moved. I've learned that we'll need copies of our driving records from the New York State DMV. I had assumed (always a mistake!) that an Ontario insurance company could access that information themselves, but they cannot. Similar to credit ratings, there's an impenetrable international boundary.
So it looks like we have an unexpected errand this week! Further proof of why you cannot leave things to the last minute - because new stuff always comes up.