I can absolutely understand this strategy if you walk away financially comfortable and able to give your children the life you feel they should have.
However if leaving with little money, from a mean man who will take every opportunity to screw you over, then there can be regrets.
The boys have a lot of growing up to do and teenagers are expensive.
There have been many posts over the years of children raised in difficult circumstances because their father screwed their mother over.
Many posts from women who regret allowing themselves to be financially bullied by a man whom could care less about their childrens comfort.
This is not a good or decent man.
He is scum.
He may make promises about having the children at his home, sharing costs as they come up, but I wouldn't believe a bit of it.
I would expect him to focus his energies on finding wife number 4 and spend his income on that.
I would expect not a penny more from him that basic CM, the very least he can get away with.
He will quite likely have more children, to trap whatever poor victim he catches, and you will see him withdraw all and every financial support at the very earliest he can, especially if he has more children.
I wouldn't expect him to contribute to their further education, college, uni etc.if he can avoid it.
So every penny will really count up front so that you are not burdened alone with it all.
Get the house sold, but if you can find the strength, talk to solicitor about the worst case scenario where he leaves the cost of raising his boys to YOU.