France's prime preoccupations with food and wine are nowhere better celebrated than in Burgundy.
Though it might sound glib, the best way to see Burgundy is to stay for as long as possible.
If you're simply passing through, there's entirely too much to see and do in one trip.
If you want to go bike riding, the obvious place to set up is Beaune.
If, on the other hand, you're an amateur medieval art historian or are interested in the lesser-known wines of Irancy, Chitry, and Tonnerre, basing yourself at Auxerre or Vézelay in northern Burgundy would allow you to focus on these pursuits while also visiting vineyards, the cathedral of Sens, and the once-proud Abbaye de Pontigny.
If the conveniences of modern cities are your preference but you also want a taste of medieval Burgundy, then Dijon, Burgundy's capital, offers you the best of both worlds.
Dijon has all the charm of another era and all the functionality of a major metropolis. It's the gateway to the Côte d'Or, as well as being the perfect place to set off for exploring the back roads of Burgundy.