We are within walking distance (a few minutes) of the station Rennweg, which is well connected by public transport. You can come by train ("Schnellbahn" lines S1, S2, S3 and S7), tram (lines 71 or O) or bus (line 77A).

Coming from the airport (VIE), you may take train ("Schnellbahn") S7 (goes every 30 minutes) directly to station Rennweg or the faster City Airport Train (CAT,  goes every 20 minutes) to station "Wien Mitte - Landstrasse", from where you can get to station Rennweg by train ("Schnellbahn", usually leaving from platforms 1 or 2) or tram (line O). 

Coming from the main train station ("Hauptbahnhof"), you may either take trains ("Schnellbahn", usually leaving from platform 2) to station Rennweg or tram O. Coming from the train station Vienna West ("Westbahnhof"), you can take the underground (line U3, the orange line, direction Simmering) to "Wien Mitte-Landstrasse", from where you can get to station Rennweg by train ("Schnellbahn", usually leaving from platforms 1 or 2) or tram (line O).

You can find detailed information (time tables, line numbers etc.) on connections via public transport in Vienna and surroundings here: Austrian Federal Railways ("ÖBB") or "Verkehrsverbund Ostregion" (VOR; German only); for public transport in Vienna only here: "Wiener Linien". For detailed maps of Vienna, including information on, for instance, public transport lines, bicycle routes, barrier-free pedestrian routes, you may want to check out the official City Map.