Chinese lunisolar* calendar starts on the new moon night between January 19th & February 21st. Traditionally the New Year was celebrated for 2 weeks.
Year of the (Fire) Rooster started 28 Feb 2017, next start: 2/16/18 (dog) & 2/5/19 (pig). Cycle resumes on 25Jan2020, A Year of the Rat, then 12Feb21 (ox), 1Feb22 (tiger) & 22Jan23(rabbit).
(*) - lunisolar, not purely lunar as the Islamic calendar.