When I’m working I pay much less towards the bills but then I pay for the childcare. With me paying for childcare I still pay much less than my husband overall as he earns more so it’s more proportional. It works out that after bills and childcare we have a similar amount left each, this is different at the moment as I’m on SMP so don’t really have much money left each month, but this will hopefully change once I’m back at work!
Sounds like you need to reassess the way you split things. It’s not fair that you should have to reduce your hours and income if he isn’t willing to pay more towards the bills. I’d be wanting him to reassess his priorities also, is there a need for him to have two cars? You have a child now and sacrifices need to be made if that’s what it takes for him to pay his part towards childcare so you can return to work. He can also ask more set shifts at work to accommodate too, even if it was just a couple of set days a week maybe so you can perhaps work around them and save on some childcare costs. Pretty sure employers have to have a valid reason not to allow a little flexibility for these reasons or nobody would ever go to work after having a baby. Alternatively you stay at home full time and he pays the bills if he isn’t going to be flexible in any other way
My partner earns more than I do so he pays more towards the bills. We split it so after outgoings we both have the same amount of disposable income which we can spend however we want. It doesn't seem fair splitting it all 50/50 when you're a team xx
Personally I think bills should always be divided proportionally depending on earnings, including childcare. Especially when you have children together. Then it’s fair and you can hopefully both have a little bit of disposable income.