How old are your children?? Most Aspies can't take stress very well, and children can be stressful. How is he after a few hours with them? does he need time to be alone and rest, get his mind together, and if he does, do you and the kids mind that he has alone time.
What is he like in every day situations, shoppping trips etc, if he doesn't like shopping are you happy to do this on your own? How does he get on with crowds and noise etc.
Dating an Aspie is one thing but living with one can be something completely different.
Some make great fathers and dads, some make great husbands and lovers. because they are usually gentle and caring. I'm married to one so I know what I'm talking about. He tries to be the social butterfly and succeeds very well. Notice the word tries. But he does get stressed very easily. But my husband is very aspie. He doesn't read body language or hear inflections in the voice, doesn't know the difference between when someone is joking and not, he has to be told it's a joke first. He does have facial expressions, but they don't always correspond to what he is saying, or feeling. He may want to show physical affection, but he very rarely does so. he doesn't mind crowds or noise. Compulsive talker.
My daughters boyfriend also an Aspie is a lot different, caring, gentle and patient yes, just different. He shows some facial expression, and he gets it right to what he is saying and I think feeling. He gets most jokes, easily flustered. But he does show my daughter physical affection. He doesn't like a lot of noise and can be uncomfortable with crowds. Usually only talks when he has something specific to say or asked a direct question.
Both are extremely intelligent, and even witty. both are very good company.
They are all different, but you get differences in NT men also. But an Aspie man is not at all like an NT man. And will never be. They may show some NT qualities, but this is usually things they have learned, very rarely is it natural.
Good communication is very important.
You know your Aspie, and they all have wonderful qualities, but they all have different qualities,
Are his qualities things that will enhance your life or make it harder?
I will check this post, it will be interesting to see what others say.
I'll also be thinking of you. 
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You never know whats around the corner. or who?