You can reach the Schübel-Auer with the tram line D. The entrance across the street of station Beethovengang is easily recognizable by a large sign.
Since the tram only runs until about midnight, the best is to take a taxi home. The telephone number of a taxi company will be available on site.
Standesamt Wien-Innere Stadt
The city hall is located in the 8th district, at Schlesingerplatz. From the Hotel am Brillantengrund you can either walk (approx. 20 minutes), take the tram number 5, or the bus 13A.
Hotel am Brillantengrund