Start by preheating your oven to 350°F (175°C). Grease and flour a loaf pan to make sure your bread comes out easily later.
In a mixing bowl, whisk together the all-purpose flour, brown sugar, granulated sugar, baking powder, baking soda, cinnamon, and nutmeg until well combined.
In another bowl, mix the melted butter, eggs, apple cider, and vanilla extract until you have a smooth mixture.
Gradually add the wet ingredients to the dry ingredients, stirring gently until just incorporated. Avoid overmixing to keep the bread tender.
Pour the batter into the prepared loaf pan and smooth out the top. Bake in the preheated oven for about 50 minutes, or until a toothpick inserted into the center comes out clean.
Once baked, let the bread cool in the pan for about 10 minutes before transferring it to a wire rack to cool completely. Slice and enjoy!