The appartment was exactly what we like. Not very luxurieus but clean, spacious enough (for two adults and two kids) and in a great, real italian, neighbourhood with enough small restaurants nearby.
We had a warm welcome by Allesandro (son of Lucia), who gave us a lot of information about Milan. He really did his best to show us the best spots on the map and was very very helpfull.
We rented a bike by bikemi (via bikemi.com eur 2,5 a day) which we can recomend. Its the perfect way to see a lot of the city in a short time and the bike can be returned on many places in the city.
In short notice: we can highly recommend this appartment. Allesandro thanks again, we will definitelly come back in the future.