In a large mixing bowl, cream together the peanut butter, softened butter, and vanilla extract until smooth.
1 cup creamy peanut butter, 1/2 cup unsalted butter, softened, 1 teaspoon vanilla extract
Gradually add in the powdered sugar, stirring well after each addition until the mixture is well combined and forms a stiff dough.
3 1/2 cups powdered sugar
Scoop out tablespoon-sized portions of the peanut butter dough and roll them into egg shapes with your hands. Place the eggs on a wax paper-lined baking sheet and refrigerate them for at least 30 minutes to firm up.
Melt the chocolate candy coating in a double boiler or in the microwave according to package instructions. (If you're using the microwave, be sure to stir the chocolate every 30 seconds or so to prevent it from burning.)
1 pound milk chocolate candy coating
Dip each peanut butter egg into the melted chocolate using a fork, spoon, or candy dipping tool, tapping off any excess chocolate before placing the eggs back on the wax paper-lined baking sheet.
Let the chocolate coating harden completely before serving or packaging the eggs for gift-giving.