TOUR YOUR WAY! We have a tour to fit your needs- virtual, self-guided, or with a leasing agent. Find your next home at Stassney Woods in Austin, TX. The one- and two-bedroom apartments feature open floor plans and offer options such as fireplaces, large kitchens, and washer/dryer units. The two beautiful community pools are perfect for cooling off on a hot day, while the barbecue area is a great shady spot for a cookout. Stassney Woods is located in South Austin just off I-35, putting you just 10 minutes from St. Edwards University and only about 15 minutes from The University of Texas and downtown Austin.