We are travelling in Italy (Venice, Rome, Florence and Milan) with two young kids (5 and 7yrs). Our stay in Florence was the best by far and in part was due to the wonderful stay at Beatrice, Florence. The apartment is spacious, well decorated, the bed is very comfortable and the sofa-bed was surprisingly big, accommodated well the two kids. The kids loved the place. The kitchen has everything we needed, coffee machine, sharp bread and meat knives, wine glasses, no dishwasher though (which I don't mind). There is a laundry with a washing machine that we had to use after travelling for two weeks with the kids. Communication with the host was good and accurate, Valentina (host sister) received us and explained how the apartment worked. The apartment is well located, we could walk with the kids to the main touristic attractions, but I guess everything is close in Florence.
We loved our trip to Florence, also because our stay in Barbara E Antonella's place was very relaxing, just perfect. I definitely recommend this place.