I strongly recommend heading north from the ferry on Ferncliff Avenue to Frog Rock and Fay Bainbridge State Park for a picnic. The route is gorgeaus and has few of the muscle melting hills for which Bainbridge is notorious. The nicest and most competent bicycle repairs and rentals are at B.I.cycles under Washington Mutual near the ferry. A car or bicycle is doubly nice because convenient public transportation is not among Bainbridge Island's many virtues. The Island has made a valiant attempt at providing several yellow bikes for public use but they are difficult to find.
Buses run from the ferry terminal for a dollar but only hourly in the morning and evening.
What Bainbridge bus drivers actually do best is burritos. Bainbridge is full of excellent restaurants but the only one of note to all discriminating daytrippers is Chili Cosmo's at the end of Winslow Way. No establishment can provide a bigger, healthier, cheaper, tastier meal. They serve burritos, mean burritos, burritos whose praises can never adequately be sung. It's probably the best bakery and locals often go there for a latte' and gossip.