My husband was a single parent, and I was a single parent, when we got together, so it was pleasant. I walked into a relationship with a man who had no qualms about cooking, cleaning or laundry. It was my first relationship like that.
We aren't very traditional. I usually cook. He usually does laundry. We both clean. We pick up, and spot clean during the week, and do "Saturday cleaning" on Saturday. That's when the heavier cleaning gets done. We both work together on yard work.