In a bowl, combine chicken, one tablespoon of the vegetable oil, 1 tablespoon of the cooking wine, 1 tablespoon of the soy sauce and cornstarch. Massage onto meat and marinate for about 20 to 30 minutes. Drain chicken well.
In a small bowl, combine water, the remaining 1 tablespoon cooking wine, 1 tablespoon soy sauce and 1/4 teaspoon cornstarch, and sesame oil. Stir together and set aside.
In a wok or skillet over high heat, heat 1 tablespoon of the vegetable oil. Add bell peppers and stir fry for about 10 to 20 seconds. Remove from wok and keep warm. Add chicken and cook, stirring frequently, for about 2 to 3 minutes or until lightly browned and cooked through. Remove from wok and keep warm.
Wipe down wok as needed. Add the remaining 1 tablespoon of the vegetable oil. Add whole dried peppers and cook for about 5 to 10 seconds or until darkened. Add onions, garlic and ginger and cook, stirring frequently, until aromatic. Add crushed red pepper and salted black beans. Cook, stirring regularly, for about 20 to 30 seconds.
Add chicken, bell peppers and sauce mixture to pan. Stir regularly for about 1 to 2 minutes or until heated through and sauce is slightly thickened. Serve hot.