Thank you for your question
My name is Clare
I shall do my best to help you but I need some further information first.
How much is the property worth and how much is outstanding on the mortgage?
How old are your children - and are they also your ex's children?
How long until the fees are no longer payable?
What maintenance will he pay?
What income and capital does your ex have?
Are you going to share the care of the child 50/50?
How will care be shared in the long term when the house issue is resolved?
My apologies - I thought I had posted this - it seems to have got stuck
The issue of Child maintenance depends on nights spent with each parent - so given that he will have the child nearly half of the time his Child maintenance liability will indeed be relatively small.
With regard to the re-mortgage fees sadly since you were not married there is simply no basis on which you can force him to pay them - or even part of them.
The only comfort (and it is a cold one) is that your ex cannot force you to remortgage at this stage to get his name off the mortgage UNLESS he does pay towards those fees.
However since I know you wish to remortgage for your own reasons I realise this is of little help
Please ask if you need further details