Start by preheating your oven to 350°F (175°C). This will ensure that your cookies bake evenly and come out perfectly chewy.
In a large mixing bowl, combine the softened butter, chunky peanut butter, brown sugar, and granulated sugar. Using an electric mixer or a whisk, cream the ingredients together until the mixture is light and fluffy. This should take about 2-3 minutes.
Next, add the egg and vanilla extract to the creamed mixture. Mix until well combined, ensuring that everything is blended smoothly.
In a separate bowl, whisk together the baking soda and all-purpose flour. Gradually add this dry mixture to the wet ingredients, mixing until just combined. Be careful not to over-mix, as this can lead to tougher cookies.
Gently fold in the toffee bits to the cookie dough using a spatula. This will distribute the sweet, crunchy bites evenly throughout your cookies.
Using a cookie scoop or a tablespoon, drop rounded balls of dough onto a baking sheet lined with parchment paper. Leave some space between each cookie as they will spread while baking.
Place the baking sheet in the preheated oven and bake for 10-12 minutes, or until the edges are golden brown. The centers may look slightly underbaked, but they will continue to firm up as they cool.
Once baked, remove the cookies from the oven and let them cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely. Enjoy your delicious Peanut Butter Toffee Cookies with a glass of milk or your favorite beverage!