Wow! There's a lot of women here staying single for the sake of their children. Nothing wrong with that, but it's not the only way kids can flourish after divorce, as there's advantages both ways, as long as the new partner is a good'un.
I have remarried recently. My marriage broke down 7 years ago, and I met my now husband about 6 years ago. The kids didn't know about our relationship for the first year, and he only moved in with us after two years. It's been a long road, and we've deliberately gone very slowly, but things seem to be really good now (touch wood).
He's a brilliant role model for my kids, kind, consistent and full of equanimity. He does his share of housework, and gets the kids to do theres; he supports me in my parenting decisions and backs me up when needed. They get to see what a relationship based on discussion and compromise (as opposed to constant arguing) looks like, and have gained a big set of new relatives, including kids of their age who they got on with. We also have two incomes and have been able to buy a house that would have been impossible for just me.
Does he love them like his own? Probably not, but they have two parents already so that's ok. We all get on.
So, it can work, but you do have to put the kids first and tread very carefully.