Combine powdered sugar, 4 tablespoons half and half (or milk), vanilla and peppermint extract in a medium-size bowl. Mix until smooth. The glaze should be fairly thick, but pourable. Add a little more half and half if too thick. Taste the glaze and add more extract, if a more intense flavor is desired.
Makes 10-20 cookies, depending on the size of your cookie cutters. See Café Tips above in post for more detailed instructions and tips. I got my Christmas tree cookie cutters from Amazon.