To make these cupcakes gluten free, substitute the all-purpose and cake flours with a high-quality gluten-free flour blend that includes xanthan gum (or add 1/2 teaspoon of xanthan gum if your blend does not contain it). Ensure your baking powder, vanilla extract, and snickerdoodle cookies are certified gluten free. Proceed with the recipe as written, but note that texture may vary slightly due to flour differences.