Zhubei City (竹北市) is a rapidly-growing part of Hsinchu County, much of the growth being driven by residential and commercial developments near Hsinchu HSR Station. A handful of old, single-storey homes have been preserved and turned into New Tile House (新瓦屋), also known as the Hakka Art Village. New Tile House is visually attractive (see this Chinese-language blog for good photos) but unless you come on a weekend, when there's live traditional music, it's not worth going out of your way for. Bus #1782 from the HSR station stops outside New Tile House. If you want to walk, it'll take you around 20 minutes.
If you're in the neighbourhood and want a soft drink, a beer or English-language conversation, drop by the intriguingly-named Titty Tea, which is less than 100m away. In the evenings there's often live music or comedy.