The public transport system in Vienna consists of the following transport methods:
Overview plan (includes UBahn & Schnellbahn): Plan
All of Vienna consists only of one zone (called "Kernzone") in the public transport ticket. The only time you need to buy an additional ticket is when coming from or going to the airport.
Note: You can only buy tickets in subway stations and in the tramway. Busses & Schnellbahn have no ticket machine inside, so buy your ticket in advance.
The following is a list of public transport routing apps for Vienna:
Note: Google maps also has routing for Vienna, but the data is not real time data. So while it works for a general "how to get from A-to-B" information, don't rely on the information because it doesn't include changes due to construction work or other disturbances.
Public transport during the night
On nights before weekdays, subway service ends around half past midnight. On nights before Saturday, Sunday or public holiday (night to 15.08.) subways runs all night, every 15 minutes.
While not on the level of Copenhagen or Amsterdam, Vienna is a very bike-friendly city.
Vienna has a public bike system called Citybike. It consists of over 120 stations, where you can rent or give back your bike. Riding a bike for up to one hour is free, you need to register once with your Creditcard for a one time fee of 1 €. You can find more information on the Citybike homepage