Preheat the oven to 350ºF (180ºC). Grease and flour a 24-serving mini muffin pan.* Do not use muffin liners. (The muffins need to form an outer crust. This prevents them from absorbing too much melted butter in the last step.)
In a medium-sized bowl, whisk together the flour, baking powder, salt, cinnamon, ginger and nutmeg until well blended.
In a large bowl, whisk the granulated sugar, brown sugar, oil, egg and vanilla extract together until smooth and creamy. Stir in the puréed apples, then stir in the flour mixture just until combined. The batter will be thick.
Transfer the batter to prepared pan, filling the muffin cups about 2/3 full. Bake until a toothpick inserted into the center of the muffins comes out clean, about 9-11 minutes. Do not over bake! Be diligent, since over baking can happen very quickly with mini muffins. Let the muffins cool in the pan for 5 minutes. Turn the muffins out and place on a cooling rack.