1Rinse chicken drumsticks, thighs, and wings with cold water, and place into a bowl. Pour in lemon juice and vinegar; mix in the cinnamon, nutmeg, and kosher salt until the chicken parts are thoroughly coated with the spice paste. Allow to stand, covered, for at least 1 hour.
2Preheat an outdoor grill for high heat, and lightly oil the grate.
3Grill the chicken pieces on the preheated grill until the meat is no longer pink at the bone, the juices run clear, and the spice-coated skin is blistered, well-browned, and blackened in spots, about 10 minutes per side. An instant-read meat thermometer inserted into the thickest part of the chicken should read at least 160 degrees F (70 degrees C).