Preheat oven to 350 degrees F and line two baking sheets with parchment paper.
In a medium mixing bowl (or the bowl of a stand mixer fitted with the paddle attachment), cream butter, granulated sugar and brown sugar together on medium speed for about 2 minutes, until light and fluffy.
Add the egg and vanilla extract. Mix for another 1 to 1½ minutes, scraping down the bowl as needed.
In a separate bowl, whisk together flour, baking soda, salt and apple pie spice.
Add half of the dry mixture to the wet ingredients and mix until just combined. Add the remaining dry mixture and mix again until no streaks remain.
Gently stir in diced apple and Caramel Bits.
Using a 1½ tablespoon cookie scoop (#40), portion dough onto prepared baking sheets, leaving 2 inches of space between each cookie for spreading.
Bake for 9 to 11 minutes, until edges are set and lightly golden and the tops no longer look wet or glossy. The centers will look soft but should not look raw. They firm up as they cool.
Allow cookies to cool on the baking sheet for 3 to 5 minutes before transferring to a wire rack to cool completely.
Repeat with remaining dough. Makes 18 cookies.