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, Lenkom Theatre, and Church of the Nativity of the Virgin in Putinki to learn a bit about the area. You can watch performances at Obraztsov Puppet Theatre, Hermitage Moscow Theater, and Sphere Moscow Drama Theater if you're interested in local theater.