1. Prepare Your Ingredients and Sauce: Start by cutting your chicken into uniform 1-inch pieces. Chop the onion, mince the garlic, and slice the bell pepper. In a medium bowl, whisk together the chicken broth, soy sauce, cornstarch, honey (or maple syrup), and grated ginger (if using) until smooth. Set aside. This is your stir-fry sauce.

2. Cook the Chicken: Heat the olive oil or sesame oil in a large skillet or wok over medium-high heat. Add the chicken pieces to the hot pan in a single layer, making sure not to overcrowd the pan. Cook for 3-4 minutes, stirring occasionally, until the chicken is browned on all sides and mostly cooked through. Remove the chicken from the skillet and set it aside on a plate.

3. Saute the Aromatics and Vegetables: Add the chopped onion to the same skillet and cook for 2-3 minutes until softened and translucent. Stir in the minced garlic and cook for another minute until fragrant. Add the sliced red bell pepper, broccoli florets, and snap peas to the pan. Saute for 3-5 minutes, stirring frequently, until the vegetables are tender-crisp – they should still have a slight bite.

4. Combine Chicken and Vegetables: Return the cooked chicken to the skillet with the sauteed vegetables. Stir everything together gently to combine.

5. Add the Creamy Sauce: Give your prepared sauce mixture a quick whisk again, as the cornstarch can settle. Pour the sauce over the chicken and vegetables in the skillet. Bring the mixture to a gentle simmer, stirring constantly, for 1-2 minutes until the sauce thickens to your desired consistency. It should coat the back of a spoon.

6. Finish with Cream and Season: Reduce the heat to low. Stir in the heavy cream or half-and-half until thoroughly combined and heated through. Taste the stir fry and season with salt and black pepper as needed. Be mindful of the soy sauce content when adding salt.

7. Serve Immediately: Ladle the hot chicken and veggie stir fry over bowls of freshly cooked white or brown rice. Garnish with a sprinkle of sesame seeds, if desired, and serve while warm.