There are several small grocery and convenience stores close to Casa de Chiles: Circle K, OXXO and 7 eleven
For fruits and veggies, it is recommended to walk to the Mercado de Cuauhtémoc / Cuauhtémoc Market:
For bigger shopping:
Walmart, Av. Insurgentes Nte. 131, Buenavista, Cuauhtémoc (take an Uber)
Walmart Express, Calle Río Balsas 23 (18 min afoot)