Clean the peppers and cut each one in half, discarding the seeds. Place them on a small baking sheet with the cut sides facing up.
Combine and mix cheddar, cream cheese, chives, salt, and pepper in a bowl.
Gently press some of the mixture into each half of the pepper so it stays in place.
Bake for 8 to 10 minutes until the cheese has melted and the edges are a light golden brown. Cooking temperature should be 350 degrees Fahrenheit, or 175 degrees Celsius.
Allow it to cool for a few minutes so little hands don't get burned.