Whisk together cream of chicken soup and broth in a large pot over high heat. Bring mixture to a boil then reduce to a simmer. Stir in potatoes, carrots, celery, onion, salt and pepper. Cover and simmer until vegetables are tender, about 15 minutes.
Reduce heat to low and stir chicken. Simmer until chicken is fully heated through, about 2 to 3 minutes. Garnish with cheese and chives.
Tip: Packaged chopped vegetables can usually be found in the produce aisle of your local grocer.