In a medium bowl, mix the cream cheese, bacon, and cheddar cheese together until combined. Season to taste with salt and pepper.
Spread some of the cream cheese mixture on each tortilla, spreading all the way to the edges.
On one edge of the tortilla, layer the shaved ham and turkey, then sprinkle the lettuce above the meats (towards the middle of the tortilla).
Drizzle lettuce lightly with olive oil and vinegar, then sprinkle with oregano.
Season with salt and pepper, then roll tortilla up tightly and cover in plastic wrap. Chill until ready to serve, but at least one hour.
Slice before serving and enjoy!
