Help Our Overcrowded City Shelters. Our city shelters are extremely overcrowded and need your help urgently this holiday season Organization: San Jose AC. Learn more about City of San José Animal Care Center in San Jose, CA, and search the available pets they have up for adoption on Petfinder. STEP 3 Visit the shelter to adopt. * The City of San Jose has implemented safety precautions in response to COVID- For this reason the San Jose Animal.