Fastest and most efficient is to drive, or take a taxi if you don't have a car.
If you are using WDW transportation:
For Chef Mickey's, take a bus to MK and walk to the Contemporary. You can also take the monorail, but you need to walk across the entrance plaza to the monorail station and by the time you get there you would have been halfway to the Contemporary.
For Cape May, take a bus to DHS and either walk or take the boat to the Beach Club. Do not take a bus to Epcot for this unless you have a park hopper or other valid admission to the park, because you will have to enter the park and walk through to the International Gateway if you are at Epcot's front entrance.