Children of your husband or wife, but not of you.
Stepchildren can make people think of family, love, and sometimes of difficulties.
Examples:
She has two stepchildren from her husband's first marriage.
My stepchildren live with their other parent during the week.
The stepchildren came to visit us last weekend.
The stepchildren are not always easy to get along with.
Her stepchildren are like my own children.
He loves his stepchildren very much.