Tomorrow morning, around 4:51AM, the moon will start to pass through the Earth's shadow for a lunar eclipse. However, with the full eclipse estimated at 5:52AM and sunrise estimated to start for the NY area at 6:19AM, WCBS 2 says some people also call it a "sunrise eclipse."
The East Coast only gets a half hour of the full eclipse, when the moon is red and orange, what with the sun rising and the moon setting. The above diagram shows when the partial and total eclipses begin and end. Here's more information from NASA.