The Chinchilla is usually a Persian with a silver-tipped coat: each long white hair is dipped in black at the very end, so the fur shimmers like frost. The look traces back to Silver Lambkin, an English cat born in 1882. Most registries count chinchilla as a Persian color rather than a separate breed, and green or blue-green eyes with dark rims finish the look. Many cats listed as Chinchillas are Persians or Persian mixes.
The temperament is typically calm, gentle and quiet, which suits Chicago's many apartments. The coat is the real commitment: daily combing, regular baths and gentle face cleaning keep it from matting and keep tear stains in check. Expect heavy shedding, and plan for Persian health issues such as kidney disease and breathing trouble tied to a flatter face. Cats vary, so judge each one by how it behaves.