What is your job, OP?
I ask because some jobs are very amenable to part time, some are not. Would it be possible for you to reduce your hours or to take some unpaid leave (which many are entitled to, but few take). That might allow you some time to refresh yourself.
How much do you earn relatively to what you spend on nursery fees? It might be that when you take into account tax, if you are caring for the DC on a day when they would be at nursery, you might not be as much worse off as you expect, especially as you say you are a low earner and you currently have 2 lots of nursery fees. I'm not saying its a "day off" in the same way if you have 2 preschoolers at home, but I find my "days off" with the kids i do still manage to get through some laundry etc and it takes the pressure off the evenings.
If DH is not taking his share of domestic duties then he probably doesnt value your contribution to this. Other posters have said you need to make him share the domestic load. I'm skeptical - its easy to say he should, but my experience is that men who don't pitch in properly are incredibly hard to shift on this and it is harder work to keep forcing them than just to get stuff done. But you might be able to present him with thr option of EITHER you reduce your hours OR you want to outsource some of the housework to reduce pressure on you.
I think its best to avoid totally giving up work at this stage in your life. There are so many unknowns (illness, separation, unexpected costs) that its best to maintain some flexibility if you can.
What is the plan for managing school run in a year or two? Full time workers sometimes struggle with the transition from nursery (long hours) to school (finishes at 3/3.30 and may or may not have suitable wraparound). Might that time, when childcare costs are reducing and children require slightly less hands-on supervision be a time that he would be more agreeable to you reducing hours? You might also have built up a bit of a savings buffer by then and he might feel less exposed.
He isnt your boss. He doesnt get to unilaterally choose. But you are a team and both parties should have a say in big decisions.