Another great option is Pease Park. Featuring a disc-golf course and beautiful view of Shoal Creek, this is a very popular spot with the local University of Texas in Austin students which makes this a great location for younger dog walkers to mingle and possibly meet some new friends.
The Duncan Neighborhood Park and Austin Recreation center are also two great locations for a more relaxed stroll. Featuring beautiful trails, both locations offer a quiet and peaceful experience where you can enjoy a beautiful day with your furry friend.