By subway, bus, tram, and the "Schnellbahn" - Generally Vienna’s public transport system is safe and reliable. The subway is called "U-Bahn". Trains on the city’s five subway lines run from around 5 am to 0:20 am, about every 2 to 6 minutes. Trams and buses may be a bit less frequent, especially during off-peak hours. There is also the "Schnellbahn" which links the city with its suburbs.
Tickets are valid for all these means of transport within Vienna (zone 101) and can be bought at automatic vendor machines at all subway stations or at stalls at the major stations.

As of January 2002, the following prices apply:
Einzelfahrschein (single ticket): 1.30 Euro
24 Stunden Wien-Karte (24-hour ticket): 4.30 Euro
72 Stunden Wien-Karte (72-hour ticket): 10.90 Euro
8 Tage Karte (8-day travel card): 21.80 Euro
Beware that a "Wochenkarte" (Monday-Sunday weekly card) costs only 11,20 Euro and it is therefore a better option than the 8-day travel card!

There are reductions for children... and dogs! Small dogs that can be carried in a basket do not need a ticket (neither do cats, rabbits, guinea pigs, etc.); bigger dogs need a children ticket. Bigger dogs also have to wear a muzzle -- if they are caught without, you will have to pay a fine.

Night buses take special routes and leave about every 30 to 60 minutes, many from the State Opera house. You will need to buy an extra ticket for them (1 Euro).

By taxi - There are enough taxis around in most parts of the city. They can be hailed relatively easily and usually you only need to wait for a few minutes until an empty one passes by.
Generally, taking a taxi in Vienna is hassle-free and drivers really use their meter. A short ride around in the center shouldn’t cost much more than 10 Euro.

By Fiaker - "Fiaker" are carriages pulled by horses and were used like taxis in former times. "Fiaker" are still a popular -- but rather expensive -- way for tourists to get around in the city. You can get one on the Stephansplatz or the Heldenplatz. A one-hour ride costs around 90 Euro.

Walking - The center of Vienna is very compact and most sights are within easy walking distance. Exploring the city by foot is especially attractive, since the center is packed with nice, small streets. Besides, although cars are allowed in most places, there aren't many because most of the traffic goes on the "Ringstraße", the big boulevard around the center. There are also the pedestrian areas of "Kärntnerstraße", "Graben", and "Kohlmarkt" that are completely car-free.