Ulterster County New York Apartment For Rent . It's a 3 bedroom apartment with 2 bathrooms. The one bathroom will be shared. 5220 S Ulster St, Greenwood Village, CO 80111 Apartment for Rent in from www.apartments.com Ulster county is in southeastern new york state, south of albany, immediately west of the hudson river.much of it is within the catskill mountains and the shawangunk ridge. Current roommate will be moving out in august of this year (2022) and. 21 colonial dr, new paltz, ny 12561.