It depends on the time of day. Animal Kingdom would be the easiest transfer point, followed closely by the Studios. Otherwise, if they are both closed, Epcot would be the next best bet.
Consider a taxi. Its at best a 5 minute drive and won't be very expensive.
Failing that, take the bus to the nearest park (note that the MK or the TTC is about the farthest away) and switch there for the AKL bus. Allow 45 minutes for the bus, perhaps more