How to go from Taipei airport to the city center:
Taipei has two airports. The international one is 45 minutes southwest of the city and the local one is within Taipei itself.The local airport is called Taipei Songshan and its code is TSA. The international is known as Taiwan Taoyuan International Airport and its code is TPE.
In the case of Songshan airport, you can get to your hotel by bus or subway (Songshan airport stop), or by taxi. The price of the taxi will be around 150-250 TWD depending on which area the hotel is in.