Preheat oven to 350 degrees. In a medium bol, add cake flour, baking powder, baking soda and salt. Stir together with a whisk, and set aside. In the bowl of an electric mixer, add eggs and beat 10 to 20 seconds. Add sugar and continue to beat on medium speed about 30 seconds. Add vanilla and oil, beat.
Reduce mixer speed to low and slowly add about half of the flour mixture. Add half of the milk, then the rest of the flour, then the rest of the milk. Beat until just combined. Scrape down the sides of the bowl.
The batter will be thin. Pour batter into a muffin pan prepared with paper liners. Fill liners about 2⁄3 full. Bake cupcakes in preheated oven for 12 to 14 minutes. Cool in pan 1 to 2 minutes, then remove cupcakes from pan (carefully) and finish cooling on a wire rack.
Feel free to use this recipe for cake as well. This recipe will work for a 6 inch cake. Double it for an 8 or 9 inch cake.