Prepare the Apple Filling

1. Cook the Apples: In a medium saucepan, combine the diced apples, sugar, cinnamon, nutmeg, and lemon juice. Cook over medium heat for 5-7 minutes until the apples start to soften.
2. Thicken the Filling: If you want a thicker filling, dissolve the cornstarch in a tablespoon of water and stir it into the apple mixture. Cook for another 1-2 minutes, until the filling thickens.
3. Let Cool: Remove the saucepan from the heat and set aside to cool while you prepare the crust.

Prepare the Pie Crusts

1. Roll Out the Crusts: Unroll the pie crusts on a clean surface. Use a round cookie cutter or a glass to cut out 3-inch circles from the dough.
2. Brush with Butter: Place the dough circles on a baking sheet lined with parchment paper. Brush each circle with melted butter.

Assemble the Apple Pie Bites

1. Fill the Crusts: Spoon a small amount of the apple filling into the center of each dough circle, being careful not to overfill.
2. Seal the Bites: Fold the dough over the filling to form a half-moon shape or pinch the edges to make little turnovers.
3. Press Edges: Use a fork to crimp the edges of the dough to seal the pies tightly.

Bake the Apple Pie Bites

1. Top with Cinnamon Sugar: In a small bowl, mix together the sugar and cinnamon. Sprinkle the mixture over the top of each pie.
2. Bake: Place the baking sheet in a preheated 375°F (190°C) oven and bake for 18-20 minutes, or until the crust is golden brown and flaky.

Serve the Apple Pie Bites

1. Cool and Serve: Allow the apple pie bites to cool slightly before serving. Enjoy warm, and feel free to serve with a scoop of vanilla ice cream for an extra treat.