One of the Old Town’s most welcoming eateries, Le Pigeonnier spills across the dining rooms of a 14th-century building and a sunny square, the latter perfect for people-watching. The restaurant menu is traditional. Linger over slow-cooked daube (a classic Niçois beef stew), a generous steak, or fish soup served with garlic croutons and rouille, saffron mayonnaise.