Greenwood Park W Betty Ter & N Chester Ave, Niles, IL60714 Greenwood Park is a modest-size neighborhood park. There is parking on the east side, on Chester Avenue, but no parking…More on the west side, on Greenwood Avenue. The east side of the park has a basketball court, a pathway and trees. Farther west is a playground. The east end of the park is shady, with many trees, and also has a few picnic tables.