Domenico's house is perfect for a family with children. I have recommended it already to my family and friends.
The flat was super clean and you will find everything which is needed for a comfortable stay : coffee machine, pans, cups and glasses in the kitchen; washing machine in the bathroom (doing a funny noise when swirling so its better to go to the beach meanwhile :)), there is a kind of internal patio with some plants where you can leave the baby stroller and where children can play safely (it is closed with an internal door), you will find there an ombrella and sunbeds which you can take to the beach; there's even one ombrella in case of rain! The flat and balcony have a magnificient view of the sea and the nearby small beach. The only and small but I would give to the small noise coming from outside because there is a parking place of a restaurant Lido Bianco and the people are walking and talking in the evenings which can be annoying for a very sensitive people (my husband and others didn't have any problem with that; they have appreciated sounds of the waves and the sea view) but if you close the window and put on the climatisation, you wont be bothered at all. Personally I think you wan't avoid the noise in Italian cities or towns, you would need to choose country side to be in the perfect silence. The flat was equiped in fans under ceilling witch is great if you don't want to use climatisation all the time.
In the neighborhood you will find a small play ground for children, a very nice restaurant, very well equiped simply shop, small and lovely shops with fruits and vegetebles, cheese and meat, pharmacy, shops with toys and beach equipement etc. Within a walking distance along the cost (10-15minutes) you will find Monopoli's beautiful historical center and, which was the best, the beach is just behind the door! so if you forget something, it's not a problem to get back home quickly. Even thoug the beach is small, I found it perfect for children because the water was not very deep and they can play safely.
I have never met such a host as Domenico! From the first contact at airbnb he has replied very quickly. He has provided us with detailed information how to get via train from Bari airport to Monopoli and then transferred us with his car doing the way twice (we were 4 adults and 4 children + a lot of luggage), he has provided 2 baby beds, toys for children and asked during the stay if everything was ok. He has printed out our tickets for a return flight and advised about shops, restaurants, showed us neigberhood and was really helpfull in every situation. Domenico lives in the same building so he was every time there when we needed his help. Our stay in Monopoli was a real pleasure. Thank you one more time Domenico! :)