Hi, sorry to hear about your situation.
firstly, does your hubby not like children from the start? After you get married did both of you planned on having babies?
I heard similar situation with couples who have children from "accident" or those had children without mutual agreement e.g wife more keen on baby than hubby vice versa. Both party must know that bringing up children is a shared responsibility, so you have to sit down and talk about it in terms of duties and cost. Set some rules between you and him like mine are: no me-time until the kids are asleep, meaning no using phone, Internet or tv. I have 2 kids that are close in age, so their schedule are alike, during daytime I have a helper to help me but once hubby is home he takes over. Usually when he comes home he handle 1 i handle 1 we will bathe, feed, play, change clothes and put them to sleep. So it's fair as we take 1 each. The 4 of us sleep together although my kids seldom wake/ask for milk at night they occasionally does so our deal is if its our boy my hubby handle and our girl me handle.
But let me share also, there are few period where my hubby is just like yours for short while, mostly when he just changed job, he will be stressed out and pressurised by it, when he got home he needs his "me time", usually he watch his shows or play with his phone and leave the kids to me. I tolerated it and understands what he went through, but I give him max 2 month and I expect him to resume him parental duties. Like most men sometimes they get carried away, so instead of confronting him which mostly end up arguing, I would talk to him during our dates when we are in good mood and without the children interrupting us. I would say that couple time is important too we date twice a month with the help of my in laws and helper on alternate Saturdays. Sundays is helper off day so we work hand in hand caring for the children so he totally understands how tough it feels being a stay home mom.
So whatever issue I have with my hub, anything I'm not happy with I would keep and have a heart to heart talk with him during the date, as talking with him on weekdays will mean we go to war as we both are tired so tend to be sensitive.
for the cost issue, you can try suggesting putting a percentage amount from salary into a joint account, so by percentage means he will contribute more but not feel unfair. Money issue is a sensitive one, make financial planning early and revise every now and then. For me I have my own income although I'm a homemaker, I dont't divide 50 50 on our expenses but I pay for big ticket items like hdb down payment, I also bought our car in cash and paying for children school fees. Hubby pays for day to day expenses like groceries, house bills, car petrol and maid expense. On our date he pay for everything too but he has since we dated.
its important for couple to communicate well, face to face talk is best, timing is important too, dont't talk about serious stuff on weekdays when both of you are tired from work instead wait til weekend. Make time for dates, once or twice a month at least as I felt it makes a difference for me and hubby, we feel closer therefore easier to communicate.
hope that helps.