I think your moonrise is around 5:30 pm or so. Like MD said, just look to the East after dark.

UPDATE:
The eclipse begins at 4:30 PM EST and ends at 8:11 PM EST. The maximum eclipse will be at 6:21 PM EST. (Add or subtract the appropriate number of hours for your own time zone.) Of course, you can only see the eclipse at the times when the moon is visible in the sky. Moonrise in NYC will be at 5:43 PM. You can look up moonrise for your location at this link. At this time of the month, moonrise should be close to sunset (since the full moon, by definition, is the time of the month when the sun and moon are on opposite sides of Earth). The moon (like everything else) rises in the east, so if you’re in the Americas (where the eclipse is happening in the early evening), you can look for it in the low eastern sky.