Travel Time And Costs in Taiwan.

1. From Airport T1 to take airport shuttle bus to Taoyuan High-speed Train Station, take how long to reach and how much is the shuttle bus ticket?
2. From Taoyuan High-speed Train stn to Taichung, how long to reach and how much is the bullet train ticket cost?
3. Is there any direct train from Taoyuan High-speed train stn to Taipei-Ximending? Our hotel is at Kum Min, Ximending, Taipei? How long does it to from Taichung to Ximeding and how much does it cost for the whole trip? Thank you.
Thank you.