In a small mixing bowl, beat cream cheese with a hand mixer for about 2 minutes until fluffy and smooth. Fold in feta cheese, dried cranberries, and chives. Set aside.

Take a flour tortilla and spread a layer of the creamy filling evenly across the surface, leaving about 1 inch at the edges. Repeat with remaining tortillas.

Starting from one edge, tightly roll each tortilla into a log shape. Place seam side down to secure the filling.

Wrap each tortilla log in plastic wrap and refrigerate for at least 1 hour to allow flavors to meld.

Remove plastic wrap and slice each log into 1-inch pieces using a sharp serrated knife.

Arrange sliced roll ups on a serving platter and garnish with extra chives if desired. Serve at room temperature.