One of the ways to view Vienna's by tram. Trams are relatively slow and you can see most of the important sites since they go through main streets. There are even organized tram tours.
The city buses will take where the tram or metro are short of tracks. Even through some old narrow streets inside the old part of the city....
There is very good public transportation in Vienna, the underground, tram and bus system will take you anywhere you need to. In this picture a nice tram in front of the opera.
The subway is great most of the time but to get from Sudbahnhof to Westbahnhof the quickest way is tram 18 in either direction.However late at night its hard to buy a ticket.
You can take an inexpensive tram ride (#1 or #2) for a sightseeing tour of the wonderful late architecture of the Ringstrasse boulevard.
I hope this map of the Metro stations (Wiener Linien) around Vienna would give you a better planning of what to see...moving from one station to another.
The red and white streetcar is a common sight in Vienna, so it's a shame bad that the U-bahn has make the streetcars next to obsolete. A visit to Vienna is not complete without a tram ride.
The easy way for moving around Vienna is using subway or tram.
If you buy 8 one day tickets they will cost you 26 Euros, one journey costs 1,50 Euros.
Excellent public transport system - subway, tram and bus
At the stations were no schedules of night busses - we didn't know what bus we have to take and when it departs
Vienna gives you a dense net of underground, tram and bus routes. However the best way to get around in the old town is walking.