Your date should know you have children and your children, should they ask, only needs to know you are going out with a friend, which is the truth.
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I’m sure you’re struggling with wanting to do the right thing for your children, but also desirous of a relationship with someone which could hopefully lead to marriage.
So I think this situation requires first doing some interior work.
Along those lines, to singles who are dating or may be dating a single parent, please keep in mind and encourage your date to place “parenthood” first and “single” second.