Put the diced chicken into a medium sized bowl. Add all of the marinade ingredients and combine really well. Cover and let marinate in the fridge at least while you prepare the other ingredients - longer if you can (overnight is ideal).
Pre-heat the oven to 425F/220C and line a large baking sheet/tray with aluminum foil. Put a wire rack on top if you have one.
While the oven is heating up, thread the marinated chicken breast pieces onto the skewers (5 or 6 pieces per skewer). Don't push the pieces too tightly together. Place the kabobs onto the baking sheet.
Bake for 12-15 minutes, or until the chicken is cooked through, browned and slightly charred in parts. Turn half way through. If you have a meat thermometer, check that the inside is at least 165F/75C.
Serve while still hot with salad, tsatziki dip and pita bread.
