He is paying for everything
When you had a job, you paid for nothing.
If your child is at school for 6 hours a day, yes you do the housework and possibly cook for everyone in that time, which should be seen as ^you supporting the family’ albeit in a practical way rather than financial like your husband.
I’m in a similar situation. I’m currently furloughed but only work part time so my husband also pays for everything, I don’t contribute to any bills whatsoever.
My wages go on food for me and the kids (he cooks separately because he has non veggie cuisine) and my own bills for car stuff and school clothes.
(I don’t buy anything for myself anyway, currently in literal rags, tshirt and trews with holes in 
it’s a hark back to my lone parent days when I bought clothes from charity shops and begrudged spending 10p on myself at the best of times.)
Anyway, point is, he will pay my emergency car bills if needed to, he happily bungs a tenner here and there if I need it (blood from stone trying to get me to borrow money off anyone though), and he would buy new tech or whatever for the family because it’s for the family.
So your husband is just different. Everyone is.
He’s probably feeling overwhelmed with the idea he’s financially supporting everyone and even a token nod from you would make all the difference. That’s not placating a disgruntled man, that’s being considerate which is the simple key to a happy marriage.
Try it this afternoon. Gently and calmly explain you don’t feel entitled to be financially supported by him of course you don’t it’s not the 1950s, but whilst you have no income apart from child benefit and child tax credit (about £150 a month if I remember rightly) then you’re happy to contribute practically at least until you can find new work.
If he still disagrees, he can leave his job and stay home to do the childcare and housework, whilst you go out to work.
Or hand him the calculations for wraparound childcare if you find a full time job.
See it from a man’s point of view, all he sees is his money being spent on everything, and that you contribute nothing valuable. Stop doing the laundry and housework, he’ll soon appreciate what you do do.
And maybe push some of that £150 in child benefit and child tax credit towards the bills?