Beer Cheese Soup in a Bread Bowl with Kielbasa "Croutons"

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1 tablespoon vegetable oil

6 ounces kielbasa, cut into 1/2-inch dice 

3 tablespoons unsalted butter 

2 carrots, finely diced 

2 stalks celery, finely diced 

1 small onion, finely diced 

2 cloves garlic, minced 

1/2 teaspoon dry mustard powder 

Pinch cayenne pepper 

4 small round boules (about 7 inches each) 

3 tablespoons all-purpose flour 

2 teaspoons Dijon mustard 

1 teaspoon Worcestershire sauce 

2 cups chicken stock, warmed 

1 bottle pale ale, pilsner or lager 

3 cups sharp yellow Cheddar, shredded 

5 ounces Gruyere, shredded 

Kosher salt and freshly ground black pepper

3 tablespoons finely chopped fresh chives