Essentially, the principle I live by is that once you've discharged all of your monthly commitments (Bills, joint savings, stuff for the kids etc) and transport costs, you should have basically the same in disposable income.
I would not embark on a relationship where there were children involved (I have children, I'm married, I was the product of a massy blended family - it's a 'no' from me) but if I did, I would budget a spending plan for the kids and use the maintenance directly for that. If there was extra money required this would go into the wash as joint expenses and then we'd both pay the requisite amounts to ensure we we were left with the same amount of cash.
Combined you take home in the region on £4.6k - deduct your total bills from that and split it in two - that should be your surplus each month.
My DH and I have done this since we had our first child as I went back part-time. It works great, we still treat each other now and then and expenses for the kids come out of the joint account and we repay our share.
My other opinion is that it's good that your partner receives maintenance, it's not guaranteed, and therefore I would never enter into a relationship unless I was willing to fund step-children like they were my own. The maintenance would be a happy bonus but if it disappeared I would look at it as my responsibility to ensure they were well looked after allied to my responsibility to being in a relationship with a man who had children that pre-date our relationship.