The Christmas decorations in New York are usually taken down around January 2nd or 3rd. This is a tradition that dates back to the early days of the city, when people would take down their decorations after the Epiphany. This day is also known as Little Christmas, and it marks the end of the Christmas season. The reason why people take down their decorations after this day is because it's seen as a sign of respect for the holiday season, and a way of returning to normal life after the celebrations.