Coastal transport in the Bay of Palma, a small region in the island of Mallorca, Spain, is characterized in terms of Lagrangian descriptors. The data sets used for this study are the output for two months of a high resolution realistic numerical model, ROMS, forced atmospherically and with a spatial resolution of 300 m. Semi-persistent Lagrangian coherent structures (LCS) are found during both months. We study the fluid interchange between the Bay and the open ocean by computing particle trajectories and residence times. We found clear differences between autumn and summer. Stirring is smaller in autumn (October) than in summer (July), presenting diurnal variability at both months, probably induced by the effect of the wind. The escape rate of particles out of the Bay is qualitatively different, with more particles escaping to the ocean in October than in July. We show that LCSs separate regions with different transport properties, and display spatial distributions of residence times on synoptic Lagrangian maps. Finally, we compare the transport at the bottom layer, strongly influenced by the bottom drag, with surface transport strongly forced by the wind.