Cream butter, add sugar and beat until fluffy.
2 sticks softened butter (1/2 lb.), 2 c. white sugar
Add eggs and vanilla. Mix well.
2 large eggs, beaten, 1 tsp. vanilla extract
Combine dry ingredients and add to butter mixture. Mix until combined.
3 c. all-purpose flour, 1/2 tsp. baking soda, 1/2 tsp. baking powder, 1/8 tsp. salt
Wrap the dough into parchment paper and chill in the refrigerator for at least two hours.
Preheat the oven to 350°.
Spread the chilled dough onto a floured countertop. Roll it out to no more than 1/8" thick (adding flour as needed to keep the cookies from sticking).
Using cookie cutters, cut them into shapes and carefully transfer the cookies to greased or parchment-lined baking sheets.
Brush each cookie top with well-beaten egg wash.
1 egg, beaten for egg wash
Sprinkle the tops of the cookies with cinnamon/sugar mixture and place a pecan or walnut halve on top, or sprinkle with chopped nuts. Or if you prefer, sprinkle the tops with Christmas sprinkles.
3 Tbsp. sugar, 1 tsp. cinnamon
Bake for 9 - 11 minutes. Let them rest for about a minute then transfer the cookies to a wire rack to cool.