Hi, Michael!
You have several options when traveling between Disney's Hollywood Studios and
Epcot. There is the
water taxi,
bus, or you can even walk. The bus option is the quickest, but always factor in wait time for the bus to arrive. Personally, I enjoy the walk. It is about 25 minutes, but my family likes to stop at the shops and snack locations along the
BoardWalk, so the commute is really fun! If you take the Water Taxi, it will make multiple stops along the way, so count on about 30+ minutes when traveling by water.
When walking or taking a water taxi, please remember that you will be entering Epcot at the International Gateway, so you will be entering the "back" of the park in World Showcase. The bus will drop you off at the main entrance of Epcot, entering by
Spaceship Earth. This is important to know, because if you plan to arrive for a dining reservation in World Showcase, the International Gateway entrance will be much more convenient.
During your vacation, always feel free to inquire with Cast Members who will be near the buses/monorails/boats. They will be happy to give you directions and get you where you need to go.
Happy travels to you whether you venture out on boats, monorails, buses, or even on foot. Enjoy!
Cathy