Preheat your oven to 350°F (175°C). Grease and flour a bundt pan.

In a large mixing bowl, cream together the softened butter, granulated sugar, and brown sugar until light and fluffy.

Add the eggs one at a time, mixing well after each addition. Then, stir in the milk.

In a separate bowl, whisk together the flour, baking powder, baking soda, cinnamon, and nutmeg.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Fold in the diced apples until evenly distributed.

Pour the batter into the prepared bundt pan and smooth the top.

Bake in the preheated oven for 50-55 minutes, or until a toothpick inserted into the center comes out clean.

While the cake is baking, prepare the glaze by whisking together the powdered sugar, milk, and vanilla extract in a small bowl until smooth.

Once the cake is done, allow it to cool for 10 minutes in the pan before inverting it onto a wire rack.

Drizzle the glaze over the cooled cake and let it set before serving.