I think the way you've split it here is good, but only for the things that are usage based like food, I don't see why OP should be significantly out of pocket on things that would cost the same whether 2 people lived there or 5. So things like council tax, rent should be shared 50/50, utilities could be looked at but I'd be inclined to look at all bills as a whole.
I think you need to work out what you spend on your children with regards to necessities OP, as that should be deducted from your earning first (as his child maintenance is) to make it fairer:
So his is as follows
2800 wages after tax
750 child maintenance outgoings
2050 monthly base line
Yours is as follows:
3500 after tax
£400? child necessities/clubs/uniform/spending money (not to include food*)
3100 monthly base line
Total bills £2500
If you both pay 50% of your wages to the joint account, that would cover your monthly outgoings (him £1025, you £1550) with a little left over £2575, you would obviously be paying more but you and your children make up the majority of the household so seems fair, but you both get to keep half of your take home pay.
*I think basic food shopping, cleaning and household items should be split per person as the above poster suggested, but high ticket or luxury items should be bought separately by whoever wants them.
I wouldn't pool money personally, and especially not if you're not married, but me and DH do overpay into our joint account equally and always have around £1000 'float' so if we want to buy something for the house, or for our DD or book a holiday we can have a quick conversation about it, and either of us can just go and do it. That way you're not asking for 'permission' and you're not having to ask for half the money as it's already there, it's virtually the same as pooling money, you can decide between you how much to 'float' in the account.