Slice chicken in thin strips.
Combine olive oil, garlic, spices, and the juice of one lime into a marinade.
Combine all the vegetables with marinade and let marinade a few minutes to overnight.
Sauté over medium heat until vegetables are slightly tender.
Add chicken. Mix and stir until well heated. Add juice of a half a lime while cooking.
When done, remove from heat and place fajita mixture on heated tortillas.
Top with avocado, cilantro, and lime juice.