For the Muffins:

1/4 cup butter
1/4 cup vegetable oil
1/2 cup granulated sugar
1/3 cup brown sugar
2 large eggs
1 1/2 teaspoons baking powder
1/4 teaspoon baking soda
3/4 teaspoon ground nutmeg
1 teaspoon cinnamon
3/4 teaspoon salt
1 teaspoon vanilla extract
2 2/3 cups all-purpose flour
1 cup milk

For the Glaze:

3 tablespoons butter; melted
1 cup confectioners’ sugar; sifted
3/4 teaspoon vanilla
2 tablespoons hot water