Arpege, it's not easy I know. Mindful of what someone said up the thread, it is easy to be too 'black and white' but that goes for both sides.
I don't think there's anything wrong in - your kids dad isn't on the picture and a couple of years pass and you start a new job and get on well with one of your colleagues and slowly he becomes part of your life. That's lovely.
But the other version which seems to be more common is split with children's father and two days later join a dating site.
Yes, I probably do sound judgemental and horrible but then it is what I feel and I feel I should have the courage to voice those convictions, I think that's a bit tacky and not fair on the children. That's not modelling healthy relationships, that's desperation.
So some people think I'm in the wrong for not modelling adult relationships. I would disagree and say I do, but what else am I modelling? That it's possible for a woman on her own to thrive and manage and enjoy life? That's not wrong.
I also do think some people think purely of themselves and their happiness. I know a couple where a sixteen year old girl is sharing a room with her ten year old brother because of moving in together: can't be very nice for anybody but they've done it and never mind the children.
Anyway, that's my view. I'm not saying it's wrong, always, I am saying - it's not always right :)