Preheat oven to 400. For Cookies: Creqam together butter, sugar, eggs and vanilla. Mix well, the longer the better. Add baking powder and salt. Mix until blended. Gradually add flour, mix until just blended. Chill dough for at least one hour. Roll out with rolling pin and cut using desired cookie cutters. Place on ungreased cookie sheet and bake for 8 to 10 minutes. Do not overbake. For Frosting: Melt butter in pan over medium heat. Add 1 cup powdered sugar and stir well. While still on heat add milk and mix well. Add another cup of powdered sugar and mix well. Add vanilla and mix well. Add remaining powdered sugar and mix well (a whisk works best). Turn heat down to low and frost colled cookies. This frosting cools quickly so it is easier to frost while still over heat.
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