In a large mixing bowl, combine the cooked chicken, mayonnaise, Greek yogurt or sour cream, and lime juice. Mix thoroughly until every piece of chicken is coated in the creamy base, about 1-2 minutes of stirring.
Add the shredded cheddar cheese, crumbled bacon, diced jalapenos, green onions, minced garlic, and fresh cilantro to the bowl. Fold everything together gently but completely, making sure the bacon and cheese are distributed evenly throughout.
Season with salt and pepper to taste, starting conservatively since the bacon and cheese already add saltiness. Taste and adjust seasoning until balanced.
Cover the bowl tightly with plastic wrap or transfer to an airtight container. Refrigerate for at least 30 minutes (preferably 1 hour) to allow flavors to meld together and the texture to firm up.
Serve cold with your choice of lettuce cups, crackers, bread, or as desired. Store leftovers in an airtight container in the refrigerator for up to 4 days.