By metro
Taipei City has a very clean, efficient and safe Mass Rapid Transit system known most commonly as the MRT, but also called Metro Taipei (台北捷運). Muzha line, which connects to Taipei Zoo, is a driverless elevated system. The last trains depart at midnight. Stations and trains are clearly identified in English, so even for those who cannot read Chinese, the MRT system is very accessible. All stops are announced in four languages: Mandarin, Taiwanese, Hakka, and English. Most stations have information booth/ticket offices close to the ticket vending machines. There is no eating or drinking while in the stations or on the trains. Trains generally run from 6 AM to midnight, with convenient bus connections outside the stations.
Women and/or children traveling at night can benefit from the Safe Zones - sections of platforms that are under heavy surveillance - located in some of the subway lines. Stations and trains (including the monorail) are wheelchair-friendly, but note that when there are multiple exits from a single station, usually only one of these is equipped with a lift.
In addition to single journey tickets, the Taipei MRT also sells value-added cards/smartcards called EasyCard (悠遊卡). One only needs to "touch" (sensor) them past the barrier monitor to gain entry and exit. EasyCards can be purchased at station ticket offices or at vending machines. There are two purchasing options, but not all stations sell both. The first comes with no credit or deposit. The better option is the second. Once you have the card you can immediately load credit onto it. The EasyCard can be recharged with credit at convenience stores, station ticket offices, or vending machines at stations.
One great advantage of using the EasyCard is that there is a 20% discount on all MRT rides, and if you transfer from the MRT to an ordinary city bus, or vice versa, within an hour. The discount is automatically calculated when you leave the MRT station. Student cards with even deeper discounts are also available for purchase, but only upon request at a desk and a student ID. In addition to the subway and buses, some parking lots also offer an option to pay with the EasyCard. Can also pay for purchases at convenience stores with EasyCard.
It is also possible to buy day cards just for the metro system, or you can buy a card that works on both the metro and buses. Alternatively, the Taipei Pass overs travel on the metro and Maokong Gondola for one day. These are very convenient and if you are doing more than 6 or 8 journeys in a day, will also cover their cost. In recent times, major convenience stores such as 7-11, as well as various other retail outlets have begun to accept the card as payment.
Often times limited-edition cards are issued by the transit authority depicting artworks, famous characters, landscapes, etc. These are quite collectible and are perfect souvenirs for your trip. Remember single-journey tokens are recycled when you exit the stations, so if you want to keep a particular one you should purchase an extra.
By bicycle
Even though motorized traffic is very heavy in Taipei, bicycles are still legitimate vehicles to get around. There are long cycle paths beside most rivers in the city. Bicycles can also be carried on the Taipei metro but only at certain times and via certain stations - bicycles aren't permitted in larger interchange stations such as Taipei Main Station and Zhongxiao Fuxing, and bicycles are only permitted in the first and last carriages. Unlike Mainland China, there are no segregated bike lanes but on the busiest streets cycling on the pavement (US English: sidewalk) is permitted, as in Japan.
Taipei recently started its YouBike bicycle rental program where citizens and tourists can use EasyCard to check out a bike at most metro stations. It has become extremely popular for tourists to get around the city.
By bus
Taipei City has a very efficient bus service, and because all buses display information (destination and the names of stops) in English, the system is very accessible to non-Chinese speaking visitors. Payment can be made by cash or EasyCard for each section that the bus passes through. For local buses (all local buses have a number, but long distance buses do not) the maximum will be two sections. The confusion, however, arises by not knowing where the section boundaries are located and the fact that there is often a buffer zone to prevent people who get on one stop before the boundary from overpayment.
When to pay Above the driver, there is an electronic red sign. If the Chinese character for "up" (上) is lit, then you pay when you get on. If the same sign is lit when you get off, you do not need to pay again. However, if the sign is displaying the Chinese character for "down" (下) when you are getting off, then you will need to pay a second time. Finally, if the character for "down" is lit up when you get on, then you need to pay only when you get off. Until you get the hang of the system, just let the locals go first and follow their action. It's really not as complicated as it sounds, and bus drivers won't let you forget a second payment if you own one!
Besides, if you are transferring from the transit system to a bus within one hour, there is a discounted bus fare.
By taxi
Taxis are the most flexible way to get around and are extremely numerous. They are expensive in comparison to mass transit but are cheap when compared to taxis in the rest of the world. Most taxi drivers cannot speak English, and it will be necessary for non-Chinese speakers to have their destination written down in Chinese though most taxis are equipped with GPS systems. Tipping is neither necessary nor expected.
Since 2012, all passengers are required to buckle their seatbelt. The toll-free taxi hotline is 0800-055850 (maintained by the Department of Transportation).
Taiwanese taxi drivers tend to be more honest and friendly than in many other countries.
By car
Renting a car is not only unnecessary but not recommended in Taipei unless you are planning to head out of the city. Traffic tends to be frantic, and parking spaces are expensive and difficult to find. Most of the main tourist destinations are reachable by public transport, and you should use that as your main mode of travel.