I stayed in Richard's place for 2 nights during my recent trip to Edinburgh. The apartment is in a great location with multiple bus routes serving it, you are never more than 2-3 min waiting for the bus and the trip takes only about 10 min by bus or 25min walking. There is shopping centre, cafes and bars very close by, all within 5 min walk. Arthur's seat is also within very walkable distance from the apartment.
Richard provides us with maps and lots of tips and other very useful info!