Rather than bus to a park and then to back to CSR, it might be easier to take a bus to Downtown Disney from CB, then take a bus from there directly to CSR. Either way, though, it will be a time consuming thing making connections on busses, especially in the morning if you have plans later in the day.
Best way would be to drive if you have a car--
(I've had breakfast at the Pepper Mill, and it is good, but I wouldn't make a special trip for it!)