The city park of Zvenigorod is on the hill facing the hill with the Ascension cathedral. You should leave your car at the cathedral and then go over a pedestrian bridge into the park.
The park is pretty small but it has several alleys with huge poplars and pines. A monument of Vladimir Lenin is just at the pedestrian bridge. Several other monuments are scattered all over the park. On the high bank of the Moscow river is a small pavilion where you can take a rest in the shade of pine trees.