For the record, most single men would be reluctant to date a woman with 3 kids who are NOT HIS OWN... because he will no doubt have to deal with the 'baby daddy' issues, at some point in the relationship.
Now multiply all those 'potential headaches' X 3. 
That's WAY TOO MANY grown-ass men / issues involved in ONE relationship, imo.

It's hard enough dealing with only ONE 'baby daddy'.
Sure the woman herself could be 'cool as hell', but you neva know when one of those mofos might start tripping.
No man (in his right mind) wants to have 3 different conversations / agreements about 'child care' issues.
And the minute the mother says 'you don't have to worry about raising my kids. I'll handle them. Thank you very much'.... he is put in a position of
weakness. She 'wears the pants' and he becomes just another 'dependent', so to speak.
He can NEVER truly be 'the man of the house'.
Just some dude who either pays for everything.... or only satisfies the woman's 'emotional needs'.... but 'has no real authority'.

So he can't even rectify 'the smallest' household situation without input / consensus from a GROUP.
FOR EXAMPLE:
Whenever little Jo-Jo starts 'acting the fool' late at night and the mother can't handle it... she gotta reach across her boyfriend's MANHOOD (in bed) to pick up the phone on the nightstand and call Jo-Jo's REAL father.
Sure it takes 'a village' to raise a child....
But it should NOT take multiple voicemails between multiple parents to get his little ass to 'put the garbage out', or 'clean his room' on the regular.