Correct, but it's the plain administrative noun for 'family'.

What a Japanese person actually thinks
Neutral and slightly bureaucratic — it's the heading on a residency form. Warm in context, flat in isolation.

Naturalness●●●●●

Extremely common word.

Coolness●●●●●

The characters are fine. The word does no emotional work by itself.

Nothing embarrassing lurking in here.

絆 kizuna
the bond between people

What you actually mean by 'family'. One character, deeply felt, and universally loved in Japan.
家 ie
house; household; family line

One character carrying the home *and* the lineage. Denser and more resonant than 家族.

家族

Orientation: vertical

Mincho.