The location could not be better. The flat is in Kazinczy street which is the center of the Jewish Quarter. This is the bohemian part of Budapest full of restaurants, pubs, night clubs, etc. Everything is close by walk or by bike, but it has excellent connections to public transport as well.
Close to the apartments you can find more opportunities for breakfast or brunch.
Even though the flat is in the downtown, it is very quaiet because it doesn't overlook the street, there is a court and the front part of the building between them.