Well, you need to know that States communicate with each other, so if you leave the state without notifying DMV will be aware of that. Before leaving the state, make sure to resolve any unaswered tickets, suspensions or revocations. You also have to surrender your license(s) plate(s) to NYS when you get to the new state.
Ok. I suppose I have to get a new car insurance in the new state. What happens if by accident I let the insurance lapse?
DMV will suspend your registration and license.
Let's say I get to a new state, I register my vehicle, get my car insurance and all that stuff but my coverage is dropped for any reason. What would DMV do in that case?