The towns of Yingge and Sanxia in New Taipei City are only about 30 minutes away from Taipei by train. The highlights from both towns can be seen in a day, even if you want to sleep in a bit.
Trains run from Taipei Main Station to Yingge Station every hour or so. After visiting the Old Street, walk down to the beautiful Ceramics Museum. “Holiday” bus 833 runs from in front of the museum to Sanxia Old Street about every 40 minutes. Or take a taxi between the two towns for about $120NTD. Please note that, even though it doesn’t look far on maps, there is no way for pedestrians to cross the large river between the two towns.