Where are you staying, and what time is your breakfast?
There isn't any direct resort-to-resort Disney transportation, and depending on how early your reservation is it could be difficult to make Disney transportation work. (You would have to take transportation to a park or to DTD and transfer to a bus to Beach Club.)
My advice is to take a taxi. All the resort bell services desks can call one for you (and usually there are some waiting). You could even ask the night before to be sure the taxi is waiting for you in the morning. Given the overall cost of a WDW vacation it really isn't a big splurge, and between the time and aggravation you'll save, I think it would be worth it.