Location matters to car insurance companies, so if you move across the state or to a new state, be prepared for your premiums to change.
Each state has its own required coverages and limits (though buy higher liability limits if you can since they offer you better protection), so rates will vary due to this and other factors, such as the number of claims the insurer pays out in your new area. Higher claims in that area will result in higher rates.
You can check out our cost of living calculator tool to see how much rates may change if you move states. Also, remember to car insurance comparison shop with at least three companies to find out who in your area provides the best rates.