Your daughter and your first cousin's children are second cousins to each others.
Second cousins once removed.
Your first cousin's daughter and you are first cousins, once removed. Your first cousin's children and your children will be second cousins to each other.
Your children and the children of your first cousin are second cousins to each other.
Your daughter and your first cousin are first cousins, once removed.
Your daughter and your sister's child are first cousins. Your daughter and your sister's grandchild are first cousins, once removed.
Your daughter and your first cousin are first cousins, once removed.
You are one generation out of synch. That would make you first cousins once removed.
Your daughter and your grandneice are First cousins, once removed.
Your daughter and your nephew are first cousins. His daughter is your daughter's first cousin, once removed.
Your daughter and your nephew are first cousins. His daughter is your daughter's first cousin, once removed.
Your first cousin's daughter is your first cousin, once removed. Your child and your first cousin's daughter are second cousins to each other.
The children of your mother's first cousins are your second cousins. The children of your mother's second cousins are your third cousins. And so forth.