In some traditions, the new moon is a time for rest, not for spell casting. For others, such as myself, use this time for spells of defense, health, divination and new beginnings. I also use this time for deep meditation. As you are starting out I would recommend starting meditation as this will focus your skills and energy in spell casting. Some good sites for free guided meditation downloads and meditation instruction are www.fragrantheart.com and www.meditationoasis.com It is also a good time for spiritual cleansing baths such as:
Just to name a few on this site.