I don't think there is much of a need to worry about the moon, and Nightcrawler has an excelent point. Most of us have heard that the moon control the tides of the sea (or water in general.) This means the full moon is really the only phase to pay attention to. Think about the amount of water that is in blood and muscle tissue. A persons mood can change, some women want to be more romantic and it seems like other people are a little more crazy during a full moon. This is because of the water content within us and animals.
With all that is said, get out and enjoy hunting.