In large mixing bowl, with electric mixer, combine the butter, 1/2 cup powdered sugar, and vanilla until light and fluffy. (about 3 - 5 minutes)
Add in flour and salt and mix until combined. Stir in chips.
You can chill the dough for about an hour, if you want a more ball-like shape to the cookies, or you can just go ahead and portion into 1" balls without chilling. If you don't chill the dough, your cookies will be flatter, like in the above photos.
You can place the cookies about an 1 1/2" apart on the prepared cookies sheets, as they will not spread much.
Bake in preheated oven for 9 -10 min, or until set, watching carefully so bottoms do not burn.
Remove from oven and allow cookies to cool on baking sheet without removing them for about 10 minutes so they don't fall apart.
While still warm "roll" in 1 cup powdered sugar and place on wire rack to cool completely.