Virtually all large cities and towns offer some form of public transportation including buses and taxis which means going around in Austria is not a problem.
Info about almost all kinds of public transport in Austria which includes airlines, airports in Austria, bus routes, driving maps and trains in Austria are available at this website.
The tables underneath will cover additional information regarding the travel methods to get around Austria: Travel by rail, travel by air, and travel by bus and car.
Airports in Austria
Public Transport in Austria
Austrian Public Transport Questions