He's entitled to his share of the marital estate, but we know nothing about the marital estate save that it includes a home. If you are the only person on the mortgage and you have three kids at home, I would expect that if you want to remain in the home it should be possible to accomplish that, and to the extent that he has a claim to any equity in the home that you may be able to defer that until you either move or your children reach adulthood - and I expect that at that time you will be moving to have any interest he could claim applied to the child support arrearage I expect him to accrue.

I suggest that you consult a divorce lawyer.