It's a bit odd he would be so concerned for the children and their well being and how a messy house will effect them YET he allows his son's blood sugar to crash before delivering them to you so you can take care of it. Apparently the image is more important to him IMO.
It's also odd that he pressures you non stop to earn more money yet he is willing to shell out money on a housekeeper.
I would simply ignore him and put the house together on your timeline and when you are able. I do agree that a neat and organized home will make you feel MUCH better. I have spent tons of time on each room in my house organizing it and redecorating and it feels great! Now that my H's stuff is out of here it the energy in my home is totally different.
It would be interesting to see the state of his home. I am sure it is much easier to keep a neat home when you only have children living there one day a week.