I just began dating a few years ago. I am a single Mom but my son is now 25 - & on his own.
Not sure how old you or your child(ren) are, it can make a difference.
My son had trouble because he never knew me as a dater. I was Mom and with xDH. It was awkward since at his age he knew what dating entailed. An honest talk worked, he is good now and just wants me happy.
Now I am dating a man who has 2 sons, he has had custody for since the divorce. It has been trying at times. He has done well to balance both our relationship & his guys. His older is all good with us, his younger is a bit jealous and can be sulky(teenager). I do my best to be his friend but he knows I will not keep secrets from his Dad - DO NOT get sucked into being a buddy - it will backfire.
My best advice - be honest & upfront. Let the woman know you have kids, the custody arrangement, when you have the boys etc... Please don't be hurt if she just can't deal with yours, mine & ours. I am older 40s so I did not wish to date anyone with small kids under 13. I was very honest about that.
I would not introduce your children to random women. If it is gonna be serious, again depends on child(ren) ages, but slow out of the house introductions. If you do it in your home or hers, it can be awkward, neutral ground is best.
If you have boy(s) be prepared if they develop a crush on Dad's girl - it happens. If you have daughter(s) be prepared for jealousy of Dad's time with the woman. Listen to your kids, and talk to them. They need to know that your dating does not take away their time with you.
It isn't easy but when you find the right balance and person - BINGO!!
