Share 'Let Daddy Take the Kids, and you Pay CS'

I was just wondering, why doesn't more women let the father of the kids take care the children, and you pay him child support? That's exactly what I want to do, because I get tired of being the 'daily' parent - the daily cooking, cleaning, chores, and all the daily stuff that goes with raising kids. Men know is hard, that why they leave the women to do it. But I know you can't have it both ways…