Best by Disney transport is bus to MK, then walk over to Cont (bus takes about 25 to 30 minutes, walk about 5). If you don't want to walk from MK to Cont then hop on MK resort monorail at MK once you get there and take the monorail to Cont. As there may be waiting time for bus (and monorail if you go that route) best rule to follow is to leave your room about an hour before your scheduled time at the restaurant. If you take a car or taxi you can get there in under 15 minutes.