Moonrise and Moonset at Specified Location (NASA) - This calculator lets you punch in your specific latitude and longitude, year and month and then see a table of times that the Moon will rise and set for your location.
Farmer's Almanac - The Farmer's Almanac website has a tool that lets you put in your ZIP or Postal Code and date and then see a list of moonrise and sunrise times. You can also browse by city. This is better if you don't know your latitude and longitude.
US Naval Observatory - This website lets you retrieve moonrise/sunrise time table for an entire year.