From Taoyuan Airport to Look Hotel, Xiangyang Road, Zhongzeng District, how is the better way to get there?

At the airport, you can find airport shuttle bus line 1819 to reach Taipei Railway Station. After that you can walk to your hotel in about 5 minutes.
The rate for the shuttle bus is around 125NTD per person.
From the railway station, you can walk along the Guanqian Road to reach Xiangyang Road. Then you can walk along the Xiangyang Road to your hotel easily.