Cut chicken breasts into bite-sized pieces (about 1-inch) and season with a little salt & pepper
Heat vegetable oil in a heavy, 5-qt pot over med-high heat
Add chicken and brown on all sides (not until fully cooked, just until caramelized) then remove it from the pan
Add sausage and brown on all sides; remove from pan
Add celery, onion, green pepper, and garlic to the pan; stirring frequently, cook until tender (about 8-10 minutes)
Stir in tomatoes, chicken broth, tomato paste, pepper sauce, spices, and rice; bring to a simmer
Reduce heat to low, cover and simmer for about 40 minutes or until rice is tender. (To keep rice from sticking to the bottom of the pan, keep heat low, and add additional chicken broth if needed.)
Serve