Buses from the resorts to the parks start running between 6:15 and 6:30. They are really there for those who have early morning ADRs. The boats start running around 7:00 or 7:30...I can't remember exactly when.
The resort monorail is up and running by 7 am, and the express monorail is sometime after that, but am not sure exactly when.
All transportation runs for an hour, or so, after the park closes. If MK closes at 7:00, transportation continues until 8ish. EMHs? Buses run for an hour or so after they end.
Buses run to, and from, DTD until after midnight.