In a medium bowl, combine the softened cream cheese, shredded cheddar cheese, mayonnaise, and chopped bacon. Mix until smooth and creamy.
Lay one flour tortilla on a clean, flat surface. Spread a generous layer of the creamy mixture over the tortilla, leaving about ¾ inch uncovered along one edge.
Add a portion of the chopped lettuce and tomatoes over the cream cheese mixture.
Arrange 4 slices of turkey breast and 4 slices of ham evenly over the vegetables.
Roll the tortilla tightly, keeping the filling compact. Repeat with the remaining tortillas and filling.
Wrap each tortilla roll tightly in plastic wrap and refrigerate for at least 1 hour to help them hold their shape.
Remove the plastic wrap and place the rolls on a cutting board. Using a sharp knife, cut each roll into slices about 1 inch thick.
Arrange the tortilla pinwheels on a serving platter with the colorful layers facing up.
Serve chilled and enjoy!