The average quality of specialty coffee in Budapest has become so high that I usually pick my destination simply based on kindness of service (and promixity). The twin sisters in charge of Kolibri, a tiny, to-go café tucked away in the Palace Quarter, reliably deliver on this front.
Apart from coffee, they serve sandwiches, excellent cakes, and fruit juices (the cherry juice was a favorite of New York Times journalist Stephen Hiltner during his Budapest stay). A few outdoor benches and tables are available in the warmer season. Also: price points are slightly below the neighborhood’s average. Closed on weekends!