In a large bowl, whisk together paprika, cumin, juice from 1 lime, olive oil, salt and pepper to taste. Add the bell pepper slices, onion slices, and chicken slices. Set aside to marinate up to 30 minutes.
Heat a large skillet over high heat. Once thoroughly heated, use a large slotted spoon or tongs to add the chicken mixture. Stir often and cook until the peppers and onions soften and chicken is cooked through.
Divide among the tortillas, sprinkle with the juice of the remaining limes, and serve immediately with desired garnishes.