Toss the chicken strips in a bowl with smoky paprika, a squeeze of juice from one lime wedge, and 1 tablespoon of olive oil. Let marinate for 15 minutes.
Preheat a grill pan or large skillet over medium-high heat with the remaining 1 tablespoon of olive oil.
Add the sliced red, yellow, and green bell peppers along with the sliced onions to the skillet. Sauté until caramelized and tender, about 8 to 10 minutes, then remove and set aside.
In the same hot skillet, grill the seasoned chicken strips until fully cooked and slightly charred on the outside, about 6 to 8 minutes.
Return the caramelized vegetables to the skillet with the chicken, tossing well to combine and heat through.
Garnish with fresh cilantro and serve immediately directly from the skillet with warm flour tortillas, guacamole, salsa, and the remaining lime wedges.