PreparationFor braised chicken: Combine 2 tablespoons oil, 2 tablespoons chopped thyme, and 2 chopped bay leaves in small bowl. Rub herb mixture all over chicken; sprinkle with salt and pepper. Cover and chill overnight. Preheat oven to 350°F. Heat remaining 2 tablespoons oil in heavy large ovenproof pot over medium-high heat. Add chicken to pot and cook until browned on all sides, turning occasionally, about 10 minutes. Add carrot, celery, onion, and garlic; sauté until golden brown, about 7 minutes. Stir in 4 thyme sprigs and 2 whole bay leaves. Add wine and boil until almost evaporated, about 3 minutes. Add enough broth to come halfway up sides of chicken; bring to boil. Cover pot; place in oven and braise until chicken is tender, turning chicken once, about 1 hour. Remove pot from oven; transfer chicken to bowl and cool slightly. Strain braising liquid into large saucepan. Boil until liquid is reduced to 2 1/2 cups, about 20 minutes. Remove skin and bones from chicken; shred chicken meat into bite-size pieces and reserve for chicken rillettes. DO AHEAD: Can be made 1 day ahead. Cover and chill chicken and braising liquid separately. For chicken rillettes: Melt 1/4 cup butter in heavy large skillet over medium heat. Add shallots and sauté until tender, about 4 minutes. Add remaining 3/4 cup butter to skillet and allow to melt. Stir in tarragon and thyme, then shredded chicken and reserved 2 1/2 cups braising liquid. Simmer until chicken is very moist and tender and liquid is slightly reduced but some liquid still remains, about 5 minutes. Season mixture to taste with salt and pepper. Cool slightly. Mix in parsley and chives. Pack chicken rillettes into large glass jar or divide among smaller jars. Chill uncovered until cold, then seal jar and keep chilled. DO AHEAD: Can be made 5 days ahead. Keep chilled. Bring to room temperature before serving. Serve rillettes with crusty bread and pickles.
PreparationFor braised chicken: Combine 2 tablespoons oil, 2 tablespoons chopped thyme, and 2 chopped bay leaves in small bowl. Rub herb mixture all over chicken; sprinkle with salt and pepper. Cover and chill overnight. Preheat oven to 350°F. Heat remaining 2 tablespoons oil in heavy large ovenproof pot over medium-high heat. Add chicken to pot and cook until browned on all sides, turning occasionally, about 10 minutes. Add carrot, celery, onion, and garlic; sauté until golden brown, about 7 minutes. Stir in 4 thyme sprigs and 2 whole bay leaves. Add wine and boil until almost evaporated, about 3 minutes. Add enough broth to come halfway up sides of chicken; bring to boil. Cover pot; place in oven and braise until chicken is tender, turning chicken once, about 1 hour. Remove pot from oven; transfer chicken to bowl and cool slightly. Strain braising liquid into large saucepan. Boil until liquid is reduced to 2 1/2 cups, about 20 minutes. Remove skin and bones from chicken; shred chicken meat into bite-size pieces and reserve for chicken rillettes. DO AHEAD: Can be made 1 day ahead. Cover and chill chicken and braising liquid separately. For chicken rillettes: Melt 1/4 cup butter in heavy large skillet over medium heat. Add shallots and sauté until tender, about 4 minutes. Add remaining 3/4 cup butter to skillet and allow to melt. Stir in tarragon and thyme, then shredded chicken and reserved 2 1/2 cups braising liquid. Simmer until chicken is very moist and tender and liquid is slightly reduced but some liquid still remains, about 5 minutes. Season mixture to taste with salt and pepper. Cool slightly. Mix in parsley and chives. Pack chicken rillettes into large glass jar or divide among smaller jars. Chill uncovered until cold, then seal jar and keep chilled. DO AHEAD: Can be made 5 days ahead. Keep chilled. Bring to room temperature before serving. Serve rillettes with crusty bread and pickles.