One thing to remember is that before the Disney bus arrives at the Polynesian, it will 1st stop off at the Contemporary since both those resorts share bus service.
Actually there is a sperate bus from the Animal Kingdom - Transportation & Ticket Center which would be faster to take if the Contemporary/Polynesian/Grand Floridian bus is not there, since it's a 5 minute walk from the TTC - Polynesian.
If you are coming from Pop Century take the bus to the Magic Kingdom and when you arrive there walk over to the Monorail station and get on the Resort Monorail, which will then take you to the Polynesian. Before it stops there it will stop at the Contemporary and Transportation & Ticket Center, so it's going to be about a 10 minute ride.
The fastest way for either of these trips would actually be to drive. If you don't have a car, then take a taxi. This avoids the extra stop along the way.
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