In a bowl, beat the eggs. Dip one tortilla in eggs.
In a large skillet, cook tortilla in oil just until egg sets; turn to cook other side. Remove and place between paper towels to drain; keep warm. Repeat with remaining tortillas, adding more oil if needed.
Place cheese, avocado, onions and bacon down the center of tortillas; top with salsa, salad dressing or sour cream. Fold ends and sides over filling. If desired, filled burritos may be warmed in the microwave just before serving.