hi sis odessa17, sharing with you our itinerary last 2011 hope it could help you as well

2011 pa ito so baka may changes na sa rates.
Day 1:Confucius Temple: Yuanshan Station, follow Exit signs
Hell Valley: From Xinbeitou MRT station on the Red Line, walk till you reach the end of Chung-Shan Road. The entrance is surrounded by hot spring spas.
•From the station you have to cross the street and from there uphill walk na lang to the Taipei Public Library (Beitou) – Hot Spring Museum – Public Hot Spring – Hot Stream and Thermal/Hell Valley
Dan Shui Fisherman’s Wharf: Dan Shui MRT Station- Take Exit 1, if you want to roam around the area. Go to Exit 2, if you need to find the bus terminal.
Take Bus R26, which will send you to Danshui Fisherman’s Wharf. This is the same bus that will return to Danshui Station.
Shilin Night Market: Jiantan Station
Day 2Yehliu Geopark
Jiufen Taipei West Bus Station Terminal A (near Taipei Main Station), look for the bus that will go to Yehliu.
TIP: The Taipei West Bus Station Terminal A is DIFFERENT from the Taipei Bus Terminal which is located just across Taipei Main Station. The Taipei West Bus Station Terminal A is located just across Shin Kong Mitsukoshi/ K Mall
Ximending Area: Modern Toilet, Ximending Store, Taipei
Ximen Station- Exit 6
Day 3National Chiang Kai Shek Memorial: CKS Memorial Hall Station (exit 5)- Red Line or Green Line
Hello Kitty Sweets: From the MRT Zhongxiao Fuxing Station Exit 3 (across the white Sogo Department Store), walk one block, then turn right and you'll find the Hello Kitty Sweets along the street.
Dr. Sun Yat Sen Memorial Hall: Sun Yat Sen Memorial Station
Taipei 101: Taipei City Hall (blue line) Exit no. 2 (Shuttle)- NTD400, slippers not allowed
Visiting Route: Entry 5F (take elevator -> 89F [indoor observatory] ) -> 91F [outdoor observatory]Exit 88F (take elevator -> 5F)
Day 4Grand Hotel Taipei: Take the red line of the MRT to Yuanshan MRT Station. May free shuttle going to Grand Hotel (Ask sa Visitor’s Information Center in the station).
National Taiwan University: Take the green line of the MRT and get off at Gongguan Station. It's right next to the station.
Long Shan Temple: Blue Line, get off at Long Shan