The Esterházy Winery (part of the Esterházy estate) has been producing wines in Burgenland for more than 250 years, so you won't get better wine experts in Vienna. All wines are made with the characteristics of surrounding Neusiedl, Leithaberg, and Eisenstadt and tours invite guests to sample five Esterházy wines, including the flagship wine, Tesoro.
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Will highly recommend this to friends and family.
Note that there is public transport -bus 285 from Eisenstadt, Austria
https://goo.gl/maps/LnZNa7uoFas which is a short walk from Eisenstadt Bahnhof.