Furnished Apartments For Rent Upper West Side . 1 room 1 bath min 1 month. Listing by oxford property group (5 w 37th street, new york, ny 10018) rental unit in upper west side. Furnished 1 Bedroom steps to Central Park and Opera Short Term from shorttermrentalsnyc.com Apartment rent in upper west side has increased by 5.2% in the past year. Lined with residential buildings that look surprisingly familiar, the upper west side has featured in numerous movies and tv shows, like seinfeld and 30 rock. The minimum lease length is 30 days.