Grate the cheeses with a hand grater or in a food processor.
In a large mixing bowl, combine cream cheese, mayonnaise, and spices. Blend until evenly combined.
Stir in cheese until evenly distributed and coated with the sauce. Many find using an electric mixer or a stand mixer helpful for this, so feel free to give your arms a rest. Fold in the pimento peppers.
Cover and refrigerate at least 30 minutes before serving. Covered, it will keep in the fridge about a week.