The lovely Hudson Sky Terrace is soft-opening for the season on April 21, with an official relaunch to follow on May 19, when Tamsin Lonsdale’s Supper Club will throw an event featuring live performances. This’ll be the first year the rooftop refuge drops the whole “hotel guests only” charade, so you may find it a bit more crowded than in seasons past. Hours of operation: 8 a.m. till 11 p.m., with cocktails served between noon and 10 p.m. Meanwhile, downstairs at Private Park, the Hudson Hotel’s lobby-level courtyard, Giant Step will be throwing parties with acoustic music and D.J.'s starting May 12 (future dates TBD).