If you're going to the Magic Kingdom, take the monorail or the boat from the hotel.
If you're going to Epcot, take the monorail to the TTC and switch to the Epcot monorail.
If you're going to Animal Kingdom, just go out the front door of the hotel and take a bus.
If you're going to MGM, take bus from hotel
The Polynesian is right on the monorail track, which makes it very convenient. I enjoy taking the short (8 min.) boat ride from the hotel to the magic kingdom.