We have had a very nice stay in Brooklyn! The apartement has everything you need and it's cosy and clean. The neighbourhood is family friendly and safe. It's also easy to get around and see other parts of the city, since there is a subway stop very close to the house.
However the best part of living here, and to get to know Michal, Adam and their two cute girls, is that you experience other things than what Manhatten has to offer. Our hosts recommended us several restaurants and things to do nearby. We went to several free concerts in Prospect Park (a park nearby, which is also great for running) and we tried ethiopian food for the first time at a restaurant that they told us about.
We therefore won't hesitate to recommend other travelers to stay here when they are visiting New York.
To Adam and Michal: thanks for a wonderful stay and your hospitality!