BACK ON THE MARKET! Move into this quiet and cozy one bedroom in a pre-war co-op building , located on a tree lined block between Second and Third Avenues. You are steps away from the Union Square transportation hub, Whole Foods, Trader Joe's and even a new Westside Market right on Third Ave. The best restaurant and shops are at your fingertips. The building has a live-in super, a laundry room, a bike room and storage facilities in the basement. 226 E.12th St. is pet friendly.