Add instant chocolate pudding, 1/2 tsp peppermint extract & 2 cups cold milk to a medium sized bowl & whisk well until all combined. Set aside to thicken.
Repeat the same process with the vanilla pudding, remaining 1/2 tsp peppermint extract & remaining 2 cups cold milk in another bowl.
Once pudding has thickened (about 5 minutes) start layering your cups
Small layer of chocolate, vanilla & finished with chocolate - you can also alternate in the cups if you like to have some mostly vanilla & others mostly chocolate.
Top with peppermint baking chips, a little whipped cream & more peppermint baking chips
Add one piece of the candy cane candy bar for added fun
Serve immediately or you can chill in refrigerator for several hours prior to adding whipped cream if needed