Helpfully I was given a choice from three similarly styled compact apartments in the same building and choose one with the bed on a mezzanine with indirect access to a terrace. Perfect for sunny days.
The apartment is situated in a quiet street within a few minutes walk from Basilica di Santa Croce and Porta Napoli. So an excellent location with lots to see and do!
I was given all the help I needed including being collected from the train station!
Result: a very good stay in Lecce!