When you call to let your insurance company know that you've moved, just be aware that your rates are likely to change. Differenct states have different minimum insurance coverages, different risk assessment tables, and different rates. I belive they'll have to write an entirely new policy for you. When I moved from PA to NC I kept the same carrier, but I had to have a new policy written. NC has different minimum insurance requirements than PA, and different rates for similar coverages, and I found that my insurance increased just by moving here. I can't recall exactly how much the increase was, but I probably wouldn't be too far off if I estimated a 10 percent jump.
"No matter where you go, there you are."