Hello. First, you have to report a change of address to DMV within ten days of having moved, for both the address associated with your license and all the addresses associated with each vehicle you have.
It's been 2 weeks since I moved. What are the consequences of not having updated my address within those ten days?
You will be charged with operating an unregistered vehicle and/or aggravated unlicensed operation.
Ok. I'll pay the charges.I have another question: I'm planning on leaving the state next month, what  are the steps I should take? I don't want to leave the state without notifying DMV
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?