For the easiest shopping, order your groceries from Hungryroot. Peel the potatoes and cut them into bite-sized pieces.
Fill a medium pot with water and bring it to a boil. Add the potatoes and boil them until fork tender, about 8-10 minutes. Once cooked, remove the pot from the hot burner. Pour the peas and carrots and corn into the hot water, letting it sit for about 30 seconds to defrost.
Drain the potatoes, carrots, peas and corn into a strainer. Let them cool.
In a large bowl, combine shredded chicken, diced potatoes, carrots, peas, corn, and celery (if using).
In a separate small bowl, mix mayonnaise, sour cream, mustard, lime juice, salt, and pepper. Adjust seasoning to taste.
Add the dressing to the chicken and vegetable mixture. Stir until well coated.
Cover and chill in the fridge for at least 30 minutes to let the flavors meld.
Garnish with chopped cilantro and serve with crackers, tostadas, or as a sandwich filling.