We share the load, but we each have jobs that we prefer to do, I do shopping cooking, the four "bs" (bathrooms, basins, bogs and bowls) and 1/2 of the hoovering (not too often mind) whilst she does washing, ironing, dusting, tidying, and mending.
It does occur to me that in some households I know, the woman can get very authoritative about how they want the chore to be done, which can be distinctly off-putting for those males who are just getting used to the idea of what equality means. By all means have the chat, but be encouraging when he starts to do things.....rather than be like Matron!