In Strasbourg
The city centre is inside a security perimeter during the market, with very limited car access. Get dropped at the edge and walk in.
Colmar and the villages
Trains link Strasbourg and Colmar, but villages like Riquewihr, Kaysersberg or Eguisheim are poorly served by public transport.
Day tour with a driver
Your driver drops you at each market and picks you up when you are ready. Nobody has to drive after the mulled wine.