You can buy Taiwan high speed rail ticket from 28 days in advance.
some tickets are 35% off. discount rates are depends on time. they are 10%,20% and 35% off.
off peak time are very reasonable. If you decide the date you take the train. I recommend you to book it in advance.
There is a English page too.
■How to book Taiwan high speed rail ticket at discount price.
|Taiwan high speed rail|
Taoyuan airport immigration speed up secret
At Taoyuan airport terminal 1, there is a secret way to speed up immigration line.
At Taoyuan airport terminal 1, you make a line by the counter.
Usually lines for foreign visitor is very long. and for taiwan citizen is very less.
so if you make a line the rightest side, you may be able to be invited to Taiwan citizen’s counter.
see the pic. like this.