Seek Advise on Taiwan Movement

Hi,

Family of five would like to visit Taiwan from 12th Dec to 21st Dec
2009. We plan to move from Taipei -- Taichung -- Sun Moon Lake --
Hualien -- Toucheng Farm -- Taipei. I have the following questions
which need your help:

1) Any transport from Sun Moon Lake(SML) to Hualien? Or,we need to go
back to Taipei and proceed to Hualien? If there is, how long it take
from SML to Hualien?

2) We do have some days in Taipei and would like to arrange a day trip
to Yeliou (am), Jiufen (pm) and Keelung (evening). Can you advise us
whether we can cover the mentioned places in one day outing? Also,
Please advise the mode of transport and location to reach these
places. Thank you.

3) Any other places of interest worth exploring for a day trip as we
are station in Taipei?

Thank you in advance
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