Irish Gaelic: Family
The word for family, teaghlach [tcheye-lah], refers to the extended family, or the household. There are a number of other terms for family and children.
The words for children in general is páisti or leanaí. Parents are tuismitheoiri.
It is not correct to refer to your family as your 'clann'. While this sounds romantic, it means you are referring to the children of your family, not your family as a whole.
Referring to your husband or wife:
One of the stranger things is that there is no single word for 'cousin'. Instead, the relationship is expressed by the degree of relationship.