Easiest trip: Bari → Brindisi → Lecce → Gallipoli → Alezio → Tuglie
From the Bari airport there is a local bus service into the centre of Bari, and there is also a more expensive airport shuttle bus which runs straight to the railway station.
Brindisi airport is connected by bus to the centre of town. The airport is close to a great tourist attraction: the frescoed Basilica di Santa Maria del Casale.
From Brindisi Airport there is also a fast bus service to Lecce, which runs several times a day and stops just outside the centre of Lecce.