Joy does a lot of the cooking if/when she's over at my place - which is most of the time when I'm not working. She does a wonderful job of taking care of me that way.
However when it comes to barbecue or any cooking on an open flame / firepit I do it, likewise when we're having home made pizzas I make them, and if we decide to have one of my noodle surprise feasts I do it.
With regards washing the dishes - I have occasional turns, but Joy usually draws the short straw there.
