Preheat the oven to 375 degrees F or 190 degrees C and line a 12-cup muffin tin with liners.
In the bowl of a stand mixer (a hand mixer works here to), cream together the butter and sugar on medium speed for 2 minutes. Add the eggs one at a time, mixing well. Add in the vanilla and milk and mix. It will appear curdled.
In a separate bowl, combine the flour, baking powder, baking soda, salt, cinnamon, nutmeg and ginger. Stir together with a fork to eliminate any lumps.
Using the large holes on a box grater, grate your carrots. Add to the dry ingredients and toss everything together.
Add the wet ingredients to the dry ingredients and stir until there are no dry spots remaining, but being careful not to over mix.
Divide the muffin batter equally between a 12-cup standard size muffin tip that has been lined with liners to prevent sticking.
Sprinkle the top of each muffin with granulated sugar and bake on the middle rack for 20-22 minutes, until the tops bounce back. Let cool and store in an airtight container.