If you only want to have sex, and feel as if you can handle a sexual relationship, it is your choice to proceed or not.
Nothing will come out of this.
Do not have him around your children nor in your home, nor meeting them..also do not discuss your children with him.
Someone who is ashamed to be seen with you isn't lovely.
You don't even know this man well to determine if he's "lovely", nor to have such discussions about him entering your children's lives.
Please practice some sort of discernment in the future.. meeting guys once at a party, making out with them, discussing your children, discussing future plans that involve being in children's lives with a stranger is absolutely unacceptable and absurd.
If you're ever looking for possibly a serious relationship in the future, you have to take time to get to know one another, take things slowly, work up to things...not have your desperation on full display. Also you presented yourself as someone who is easily accessible...someone that they don't have to work to have access to..
You are a recently divorced mother with 3 children.. if they aren't adults living away from the home, you need to vet men futher and be careful about who you want to be around your children, and how your children would react to this person.
It's alarming and concerning that you're making such plans to expose him to your children without their knowledge nor consent. That you're deciding for them.
Causal sex away from the home, if you choose to participate in that dynamic.
He doesn't want anything but sex.