Fast answer
For most first Locorotondo stays, start in the centro storico or along the Via Nardelli belvedere edge if evenings on foot are the reason for sleeping here. Move to the countryside only when the car is part of the trip, use the station edge only when arrival logistics beat charm, and choose Monopoli instead when coast and rail convenience are the stronger need.
If you only do one thing
Choose the centro storico when the trip wants white streets, cummerse roofs, and slow dinners without turning every evening into a drive. Choose Via Nardelli when the view edge and easier circulation matter more than sleeping deep in the old town.