You might want to spend some time browsing the exhibits at Gulag History Museum, Moscow Museum of Modern Art, or Nemirovich-Danchenko's Apartment Museum. While you're exploring, swing by Central Academic Theatre of the Russian Army, Church of the Nativity of the Virgin in Putinki, and Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre to learn a bit about the area. You can watch performances at Obraztsov Puppet Theatre, Bogis Theatrical Agency, and Na Strastnom Theater Center if you're interested in local theater.