Pastry brushes are ideal for greasing a fluted tube pan, including the grooves. Buy a brush specifically for greasing pans.
Don't like peppermint? Omit the peppermint extract and garnish the cake with chocolate curls.
For an easy chocolate glaze: In small microwavable bowl, microwave slightly less than 1/3 cup sweetened condensed milk, 1/3 cup chocolate chips and 1 1/2 teaspoons corn syrup uncovered on High 20 to 40 seconds, stirring every 10 seconds, until glaze is smooth; pour over cake, allowing some to drizzle down sides.