I stayed two months and a half - including one of lockdown - at Andrea and Teresa's place and I had a wonderful authentic Italian experience - exactly what I was looking for. The bedroom is fairly large, there is a private bathroom and the kitchen is well-equipped. The flat is located in a calm suburban area, but also just a few footsteps away from a bus line leading to a hub in the South of Milan.
Your hosts will be delightful persons that understand the adequate balance between entertaining discussions about anything, and the respect of your privacy. My experience also included a lot of Italian food, ranging from polpo to melanzane fritte, without forgetting cime di rapa. Some highlight: if you are staying at the right time of the year, you might even discover the well-kept secret of the folding of tortellini di Bologna. Perfetto!