Albany Woods Apartments for rent in New Albany, OH on ForRent.com: (866) 902-2271 - Availability, pricing and special promotions subject to change daily. Albany Woods Luxury Apartment Homes is located outside of Columbus, Ohio in New Albany and offers one bedroom garden apartments and two bedroom townhomes. Our apartment homes include washer and dryer, central air conditioning, dishwashers, fireplace, hardwood floors, microwaves, pationbalcony, fitness center and so much more. Albany Woods is nestled inside 40 picturesque country acres with private lake and swimming pool creating the perfect tranquil environment in which to relax after a long hectic day. Welcome home to Albany Woods.