The design set is about to descend on Manhattan for NYCxDesign, which kicks off Thursday and closes May 20. The calendar of events includes debuts, design -forward collaborations and installations that showcase contemporary living through an urban lens. The week will, for the last time, be anchored by International Contemporary Furniture Fair (ICFF). After 37 years, its organizers announced that it will be moved from its original May date to Nov. 7 next year. The New York City version of the fine art, antiques and design fair Tefaf will also run concurrently at the Park Avenue Armory. Here, a look at the fashion-ready events throughout the city. You May Also Like The New York Edit: Design Hotels With the spotlight on the hotel industry and the contract business boom, indie hotel collective Design Hotels is gearing up to return to NYCxDesign with “The New York Edit,” a public exhibition showcasing collectible works by local designers.…