The last day of the month (and the year) is sacred to Hecate. Hecate is the Goddess of Witches and the psychopomp, who shows the way to those crossing to the lands of the dead. As such She is the Guardian of the Crossroads (specifically, all mundane road crossings as well as the crossroads between life and death).
She is the Triple Goddess in Her most ancient form, the trinity of Artemis the Maiden, Selene, the Mother, and by Her own name, Hecate, the Crone.
On this night, leave food at a crossroads in Her name. If you are especially wise, you will pick a crossroads where She can see to it that the hungry may eat it, whether they know it is in Her name or not. Thus you may fulfill the requirement of the Nine of Cups, that your happiness and abundance be shared with others.
Hecate is the Witch Queen, and also rules over prophecy, healing, visions and magic. This, along with the magic of New Year’s Eve, make this an outstanding night for divination, meditation and spellwork.