1 tablespoon salt
2 teaspoons pepper
1 teaspoon paprika
2 whole chickens (3 1/2 to 4 pounds each), giblets discarded (or saved for another use)
1 teaspoon cornstarch
1 cup plus 1 tablespoon water
1/2 cup honey
5 tablespoons apple cider vinegar
1 cup chicken broth
2 teaspoons dried thyme leaves
2 tablespoons butter

Preheat the oven to 375 degrees Fahrenheit, and move the rack to the center position.

In a small bowl, combine the salt, pepper and paprika. Pat the chicken dry with paper towels, and rub the spice mixture under the skin and over the outside of each bird. Tuck the wings behind the back, and tie the legs together with kitchen twine to ensure even cooking.

Stir the cornstarch and 1 tablespoon water together in a small bowl until well combined. Set aside.

In a small saucepan, bring the honey and 4 tablespoons of the cider vinegar to a simmer over medium-high heat. Cook until the mixture is reduced to about 1/2 cup, about 8 to 10 minutes, stirring occasionally. Slowly whisk the cornstarch mixture into the glaze. Return to a simmer, and cook for one minute. Set aside.

Arrange the chicken, breast side down, on a rack inside a roasting pan. Roast until the chicken is golden, about 35 minutes. Remove the roasting pan from the oven, and carefully flip the chicken so it is breast side up. Raise the oven temperature to 450 degrees Fahrenheit. Pour 1 cup water and the chicken broth into the roasting pan. Return the pan to the oven, and roast until the thigh meat registers 165 to 170 degrees Fahrenheit, about 35 to 45 minutes. Brush the chicken evenly with a thick layer of the glaze, and continue to roast until the glaze is golden brown, about 10 minutes.

Transfer the chicken to a cutting board, and brush with the remaining glaze. Let rest for 15 minutes.

While the chicken is resting, pour pan juices into a saucepan, and skim off any fat. Stir in the thyme. Bring to a simmer, and cook until the sauce is slightly thickened and reduced to 1 cup, about 15 minutes. Off the heat, whisk in the butter and the remaining 1 tablespoon of cider vinegar. Season with salt and pepper to taste. Carve the chicken, and serve with the sauce.