Pitti is the Medici saying the quiet part loud — a palace front so massive it bullies its own square — and Boboli is the garden they grew behind it, a whole hillside of terraces, avenues and views. Together they're the monumental Oltrarno, best taken in the morning before the hill heats up.
Just over three kilometres, much of it climbing. Start in Piazza de' Pitti, facing the great rusticated wall of Palazzo Pitti, and walk through Ammannati's courtyard to where the garden opens behind. The Boboli amphitheatre rises straight up from there, obelisk at its heart; climb the steps and turn for the palace-and-city view. Then take the Viottolone, the long cypress avenue downhill — broad, shaded, and the part most visitors miss.
Work back up to the garden's high edge below the Forte di Belvedere, where the rooftops of Florence lay themselves out below the hill. Then down and out to Ponte Vecchio, trading the garden's hush for the bridge's noise on purpose. Cross into the centre, or take the minibus along the embankment.