Easiest and most direct is by taxi, cost is $45+tolls+tip. You can also take public transportation; Airtrain from terminal to Howard Beach Station, transfer to the inbound A subway. At Broadway Junction transfer to the inbound L subway to 1st Ave. which will put you at the north end of the East Village. You can also stay on the A to W. 4th St. and walk east crosstown on 4th St. to the EV.
Easiest and most direct is