Prepare the filling by combining the chicken, cheese, onion, cilantro, cumin, chili powder, salt, and pepper in a bowl.
Warm the tortillas in a skillet or microwave until pliable.
Spoon approximately two tablespoons of filling onto each tortilla, then roll tightly and secure with a toothpick if necessary.
In a large skillet, heat oil over medium heat to about 350°F (175°C).
Fry the taquitos in batches until golden brown on all sides, about 3-4 minutes.
Remove the taquitos from the oil and let them drain on paper towels.
Serve hot with your favorite dipping sauces.