Lin An Tai House for the walk through a park to the Taipei Fine Arts Museum. This boardwalk is found along the way, fairly new and oddly out of place.
The Taipei Fine Arts Museum is open from 9:30-17:30 except Mondays; admission is NT$30. Taipei Story House is open 10-17:30 except Mondays with NT$50 admission. Yuan Shan metro station is a long walk away, but it's through a nice park/plaza area (different from what you saw above). Alternatively, a long list of buses stop nearby.