Preheat your oven to 350°F (175°C) and line a 12-cup muffin tin with cupcake liners.
In a medium bowl, whisk together the flour, baking powder, and salt.
In a large bowl, cream the butter and sugar until light and fluffy, about 3-4 minutes.
Beat in the eggs one at a time, then add the vanilla.
Alternately add the dry ingredients and milk to the butter mixture, beginning and ending with the dry ingredients. Mix until just combined.
Divide the batter among the cupcake liners, filling each about 2/3 full.
Bake for 18-20 minutes, or until a toothpick inserted into the center comes out clean.
Cool in the pan for 5 minutes, then transfer to a wire rack to cool completely.