The main features of these two towns is that they are easily toured on foot, and there are frequent buses connecting them together, and to Linares-Baeza station.
In Baeza I visited the cathedral and the monumental buildings and fountains in the Plaza del Populo and the Plaza de la Constitucion.
In Ubeda I visited several palaces, the churches of Santa Maria and the Saviour of the World as well as the archbishop's prison, and these were just a sample of what was on offer.