Also, I think it's disingenuous to say that women choose lower-paying fields. Women choose work that needs to be done and is essential. It's society that's decided those fields should be low paying and low respect. (Teaching, nursing, nursing home work, etc.)
I don't dispute that in some homes men do more yard work that the woman, but I know a lot of women who do half or even all the yard work. (I mean gardening? Come on. Lots of female gardeners. My husband mows but I do most of the weeding of the gardens. We both rake leaves.)
If women were really paid equally at work then men could be take off work more often to help with childcare and parent care. But usually he makes more, the couple can't afford to lose HIS job, so she's the one who takes off work to attend to family issues. Not to mention there's still the expectation at work that men shouldn't take off work for family issues, and that needs to change.