If you do take WDW transportation you have a couple of options. The last time we were there, we went from AK to AKL - then waited for the bus to DTD. We had to stop at BB first. And it seemed like a long time for the bus. But we were in no hurry.
You could take a bus to Pop Century, then a bus to DTD. Pop Century only has one bus stop, so it seems quicker.
The other option would be to take a bus to SSR - then walk to DTD. Have never done this.