Preheat oven to 375°F. Line baking sheets with parchment paper or silicone mats; set aside.
Sift (or whisk) flour, salt, baking soda, cream of tartar, cinnamon, and nutmeg into a medium mixing bowl; set aside.
Cream together butter and sugar with an electric mixer on medium speed until light and fluffy (about 2 minutes). Beat in the eggs, one at a time, until incorporated (about 30 seconds), scraping down the bowl as necessary. Add vanilla extract and mix to combine.
Reduce the mixer speed to low and gradually add the flour mixture until combined (about 30 seconds). Give the dough one more stir by hand to make sure that all of the ingredients are completely mixed together.
If time allows, cover the bowl and chill the dough in the refrigerator for about 30-60 minutes. This isn't necessary, but it yields thicker cookies that spread less in the oven.
Combine the sugar and cinnamon for the topping in a small bowl.
Using a 1 ½-tablespoon cookie dough scoop, portion out individual dough balls and roll each in the cinnamon sugar topping to coat. Arrange the dough on the prepared baking sheets, spaced about 3 inches apart.
Bake the cookies for about 10-11 minutes, until the edges are set and the centers still look slightly underdone. Let the cookies cool on the baking sheet for 10 minutes (they will continue to firm up as they cool), then transfer to a wire rack to cool completely.