Register to Vote
Below is the link that you would need to click to register as a voter in New York:
All you need is a few documents to confirm your identity and residence. In case you have any privacy concerns regarding sharing that information, think of it this way - you are giving it to the government, they already have all this information they are asking from you. They just want to make sure it is you actually registering to vote to minimize any cases of voter fraud.
Where to Vote?
So, let us address where to vote and below is a website to answer that question (each state tends to have their information on some website):
There are accommodations that you can request from your government. It is a part of the law to accommodate those who have difficulties with voting in-person. So, here is the link for that:
Learn more at: AEFocus.org/govote