A nice neighborhood for running. Combine this with Volkspark Friedrichshain. Lots of pleasant streets with cafes, parks, and playgrounds. Stay west of Prenzlauer Allee and east of Brunnenstrasse. Good streets include Kollwitzplatz and Kollwitzstraße.
Pretty neighborhood in the southwest part of the city. Volkspark Wilmersdorf is a lovely linear park that has a tour of 5–7k. Western end is along small ponds. Access via subway: Rathaus Schöneberg. Others nearby.