Create your own New Moon and Full Moon rituals. I always gather some natural objects and create a small offering, place it somewhere special in the garden. Performing a Moon ritual is a way to connect with nature and with the cycles of the planets. A good time to honour Ancient traditions, create a sacred space and have a spiritual practice.
You can say or write Prayers and Intentions and then bury them in the earth or burn them. Usually, I include objects that symbolise each element, for Earth, I use bowl of salt and flowers and stones, have a small bowl of Water, for Air, I burn incense and use feathers and ring bells, and for Fire, light a candle. These are the basics you can add whatever else you find meaningful to make this a special ritual.