Upvote:4
The CBP Website states:
If you obtain a new passport or change your name, gender or country of citizenship, you will be required to apply for a new travel authorization. This is also required if one of your answers to any of the VWP eligibility questions changes
It doesn't list your home address; therefore you can use your current ESTA to travel to the US.
If they ask you about your place of residence, simply explain that you moved after obtaining the ESTA