Burgundy is approximately five and a half hours drive from Calais, six and a half if you’re heading to the south of the region. From Reims you can take A26- to A5 péage (toll road) .Coming from Paris you can take the A6 péage (Auto Route du Soleil) which cuts through the region to Lyon.
Traveling from London on Eurostar via Paris Gare du Nord (2hour 15 minutes ). Cross Paris via taxi or metro to Gare de Lyon, from where the TGV's (high speed trains) depart Burgundian destinations include to Montbard (1hour 10 minutes) Dijon (1hour 35 minutes), Macon (1hour 30 minutes), Le Creusot ( 1 hour 17 minutes) Lyon ( 1 hour 52 minutes)
On the TER domestic rail network you can reach Auxerre (1hour 40 minutes) and Chalon-sur Seine (2hours 25minutes)
Once a day London Eurostar -Lille - Europe (1hour 40minutes) waiting time 1hour 30 minutes at Lille. Change to TGV Lille- Flandres and continue to Montbard (2hours 05 minutes)
Return Montbard- Lille - Europe TGV ( 2 hours 09 minutes) Lille wait 1 hour 30 min. Lille Europe -London Eurostar ( 1hour 20 minutes)
During the summer a non- stop Eurostar train operates from London to Lyon o (4hours 41 minutes) The return train stops in Lille for customs and security (5 hours 47 minutes) but it does not run everyday.
The nearest airports are Paris, Charles de Gaulle( CDG) and Orly (ORY) all major airlines; Lyon (LYS) for Easy Jet and British Airways; Geneva (GVA). You can pick up rental cars at all these locations.
You can fly into Paris CDG and connect with a TGV that leaves from the station at the airport. Otherwise travel into Paris on RER to Paris Gare de Lyon.