YY,
Dun have to be so worry. Travelling is an enjoyment. Just let things take its own course. If the typhoon hit Taiwan in the north, you go south loh! Anyway, you will be surprised at their speed of clearing up the town in no time, after hit by a typhoon. Just expect to have some new encounters. =)
Went to xiao ren guo and leofoo chun (1 days each), more fun if you have kids. The unlimited games and rides will wear you out by end of the day. NOT advisable unless you have plenty of time. The entrance is a bit pricey as well.
Clothing there in shopping mall are expensive. So can go night market and wufenpu.
BTW, summer is good fruit season, grabbed their mango. Very sweet and juicy. Eat some of this year harvest liao. Yumm Yumm... Dun miss out the Ice Monster at Taipei near Din tai Fung.
If you are a naturalist, can go shifen Alishan. Have a huge waterfall and more greenery. Cool weather up in the mountain.
Oh yah! In case you are waiting, my friend have not get back to me on the beads shop.