You need to figure out your finances. This isn’t some ideological argument. You literally have bills to pay and you collectively need to figure out how you are going to pay them.
Open an account. Work out how much your monthly outgoings generally are (mortgage, electric, childcare costs, average weekly food shopping). Add them all up. Don’t worry about holidays and days out for now. Look at your current incomes. Like what you earn this month. If you earn twice as much, you contribute twice as much. If your Dh earns 30% more, you work out what proportion you both need to put in. You both add, say, £100 extra or whatever for incidentals, like a birthday present for a friend at nursery or new shoes for your preschooler or whatever.
You adjust this as you go. When you have no income, your Dh has to carry the full load. Or he can take parental leave and you can go back to work. Life is tiring. Unless he has a health issue that causes pain or fatigue, a normal functioning person is able to contribute to family life outside of working hours. Hell, I have fucking cancer, and I’m still cleaning the house and cooking dinner and sharing the running around to evening activities with Dh.
Don’t let him fool you into believing this, but none of guys at work do bathtime nonsense! I don’t know any men who are coming home from work and doing nothing. The ones I know are parenting and sorting the house, often tending to work emails and other things late evening when kids are asleep. When our eldest was a baby, Dh was working a FT job, doing all the things to start up a business in the evenings literally with dd strapped to him, so I could shower and get things done, AND getting up for nearly every feed all night to make the bottle or change a nappy.
I literally did not make a night bottle until dd was 8 months old. I remember it because Dh had gone out drinking (a rare occurrence), then passed out at home, and I was really annoyed that I had to do it myself. Men are as capable of working on little sleep as we are. And many of them are engaged parents, who are changing nappies and taking toddlers to playgrounds and cooking dinner and loading the dishwasher. They may not boast about it to their mates, but it’s just a normal part of adulting, which most can do just fine. There is no reason he can’t, unless he chooses to, and I’d be making that very clear. Parenting and running a household is 50/50 when you’re both home.