✔ 最佳答案
Here's below a website for your reference
http://taipei.craigslist.com.tw/
Try sublets or temporary, maybe you can find something interesting.
I think the culture in Taiwan is differnt from other countries, most of the family are not providing homestay. If you are exchange student, maybe you can try to contact the international students office for furthur help!
Housing agents will charge a lot, not recommend.
Hope this information is helpful!