Build the Flavorful Corn Stock: Slice the kernels off the corn cobs and set the kernels aside for later. Place the bare cobs into a large pot. Pour in the chicken broth, milk, and cream. Bring everything to a boil over medium-high heat, then reduce to a gentle simmer. Let the mixture cook uncovered for 20 minutes. Once done, remove and discard the cobs, leaving behind a sweet, creamy corn-infused stock.
Crisp the Bacon: In a 5-quart Dutch oven or heavy-bottomed soup pot, cook the chopped bacon over medium heat until it becomes golden brown and crisp. Stir occasionally to ensure even cooking. Once crispy, use a slotted spoon to transfer the bacon to a paper towel-lined plate, leaving the rendered fat in the pot for the next step.
Sauté the Aromatics: Add the chopped onion, carrot, and celery directly into the pot with the bacon drippings. Cook uncovered over medium heat, stirring occasionally, until the onions become soft and translucent—about 7–8 minutes. This step builds the aromatic base of the chowder.
Simmer the Vegetables: To the softened vegetables, add the sliced potatoes, reserved corn kernels, salt, black pepper, and cayenne pepper. Pour in the warm corn stock from earlier. Stir to combine, then bring the mixture to a light boil. Reduce heat and let it simmer uncovered for 10–15 minutes, or until the potatoes are tender and easy to pierce with a fork.
Blend for Creaminess (Optional): For a richer texture, ladle out about ¼ of the chowder and carefully blend until smooth using a countertop blender or immersion blender. Return the blended portion to the pot and stir well to combine.
Final Seasoning and Serve: Taste the chowder and adjust seasoning if needed. Ladle the soup into bowls, garnish with crispy bacon bits and freshly chopped chives, and serve warm.