Is there way to visit a decent chateau near Beaune or Dijon without having to rent a car? I'm planning on taking the TGV to either Beaune or Burgandy and was hoping to catch a bus of some sort that'll take me to a nearby chateau (kinda like what I was able to do in Florence). We will not have a car but recommendations for cheap bike rentals in either city would be greatly appreciated. Also any notable chateaus near either Beaune or Dijon within walking/biking distance would also be appreciated. Thanks in advance!