Flight
For overseas guests, flying to Taiwan Taoyuan Airport (TPE) is the best option. When arrive, there are multiple options to travel to Taipei city. We strongly suggest taking MRT Taoyuan Airport Line (Metro) as it'll take your right to Taipei Main Station, where you can easily transfer to a different public commute to your hotel. Another suggested option to travel is by taxi. Follow the taxi sign when you arrive at the airport adn you should see the taxi pick up line. Travel from the Taoyuan airport to downtown Taipei usually costs around TWD 2000 dollars (= ~USD $65) (Make sure you have Taiwan currency ready, most of the taxi here do not take credit cards.) You can also pick up a rental car at the airtport. But due to the space limitation in Taiwan, parking spots in Taipei city is hard to find and usually cost a lot. We'd recommend using public transportation if possible. (Public transit in Taipei city is AMAING.)
Rental Car
We highly recommend that you do not rent a car in Taipei. The city has a robust public transit system and Uber is available!