Just to confirm what the others have said: In Irish, teaghlach usually refers to the folks in your household; muintir usually refers to a broader category of people (depending on the context, it can mean your whole family or clan, beyond just the ones in your home, or even your tribe or your “people”), and clann may mean different things in context. It often means just your children and other descendants, for example:
-- mo chlann = my children
-- mo chlann mhac = my sons
-- Tá beirt chlainne agam = I have two children
-- mo chlann clainne = my grandchildren
but it can also be used to refer to a group, organization, or traditional clan:
-- Clanna Gael = Gaels [as a people]
-- Clann na nGael = a particular Gaelic organization
-- Clann 'IcDhòmhnaill = Clan MacDonald [in Scottish Gàidhlig -- this usage is more common in Scotland in the modern context]

Scottish Gaelic speakers use teaghlach more commonly for family than Irish speakers do, but they also use muinntir and some other words in certain contexts [note that Scottish Gaelic spelling often differs from Irish spelling, thus the two n's in muinntir].
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I'm not a native (or entirely fluent) speaker, so be sure to wait for confirmations/corrections, especially for tattoos.

That's great man thanks. So you would agree with muintir though in considering immediate and extended family, but not referring to the entirety of name bearers as it were, such as a clan. If ya catch my drift

Yes, as the others said, muintir seems to be the term you want.

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I'm not a native (or entirely fluent) speaker, so be sure to wait for confirmations/corrections, especially for tattoos.

Great, thanks for your help