The New Moon is the time when the Moon and the Sun align or are conjunct, i.e. they are in the same sign by degree and minute. This happens once each calendar month, so that the New Moon moves through the twelve signs of the zodiac over the course of the year.
Generally speaking, the New Moon is a time to work on new beginnings, and rituals on new undertakings are often created to be performed just after the New Moon, when the waxing (growing) period starts. This includes new business ventures, perhaps doing a ritual to attract and manifest a new job, a new relationship, a new health regime, and so on.
What I personally find the New Moon best for, is working with ancestral energy: acknowledging the long line of ancestors that have come before me, expressing my gratitude for their presence and help, and making some sort of offerings: fresh fruits or flowers, burning my best beeswax candles, lighting charcoal to burn good quality incense, offering fresh herbs, organic spices, and so on. The New Moon affects everyone differently – I find I sleep much better, and have very vivid, intense dreams, which does not usually happen the rest of the month. I also find I am low on energy and lethargic, although the complete darkness brings a stillness supportive for insightful tarot readings.
To support this work, I created a spread a while ago that works specifically with ancestral energies. I recommend this be done around the time of the New Moon, though that is not a strict requirement.
The first question, for cards 1, 2 and 3, is not necessarily about ancestral genetics, as it is about what energies or karmic influences your ancestors bring to the table. If you would like to see my own draw and interpretation, you can check out the Ancestral Lineage Tarot Spread, which I did using the Haindl Tarot.
Blessings to all,