
familiär
familial
Relating to or belonging to the family.
Aus familiären Gründen muss ich die Reise leider absagen.
Unfortunately, I have to cancel the trip for family reasons.
familial / familiar
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familial
Relating to or belonging to the family.
Aus familiären Gründen muss ich die Reise leider absagen.
Unfortunately, I have to cancel the trip for family reasons.

friendly / family-like
Having a relaxed, personal, and warm atmosphere, similar to that in a family.
In unserem kleinen Team herrscht ein sehr familiärer Umgangston.
In our small team, the tone is very friendly and family-like.

familial
In medicine: occurring more frequently within a family, which suggests a hereditary predisposition.
Bei dieser Krankheit gibt es eine familiäre Häufung.
There is a familial clustering with this disease.
The adjective 'familiär' (familial/familiar) is derived directly from 'die Familie' (family). It describes things that have a connection to the family or show characteristics of a family.
Das Restaurant ist für seine gute Küche und den familiären Service bekannt.
The restaurant is known for its good cuisine and friendly, family-like service.
In this meaning, 'familiär' (familial) refers to the structure and affairs of the family. Typical combinations are 'familiäre Gründe' (family reasons), 'ein familiärer Hintergrund' (a family background), or 'familiäre Verpflichtungen' (family obligations).
Er hat eine starke familiäre Bindung zu seinen Großeltern.
He has a strong family bond with his grandparents.
This meaning describes an atmosphere, not the family itself. When people speak of a 'familiäre Atmosphäre' (family-like atmosphere) or 'familiärer Umgang' (friendly, family-like interaction), it means that the mood is very personal, relaxed, and warm, often also in the workplace.
Trotz der Größe des Unternehmens herrscht hier eine sehr familiäre Atmosphäre.
Despite the size of the company, there is a very family-like atmosphere here.
This meaning is used almost exclusively in medicine or biology. Signal words in the sentence are terms such as 'Häufung' (clustering), 'Belastung' (burden/history), or 'Veranlagung' (predisposition) in relation to diseases.
Bei diesem Syndrom gibt es eine bekannte familiäre Veranlagung.
There is a known familial predisposition with this syndrome.
familiar
Vertraut describes a personal way of interacting that has developed through existing closeness and mutual trust. Familiär refers to a warm and relaxed atmosphere similar to that of a family. A familiär group therefore does not necessarily have to have been closely connected for a long time.

Schon am ersten Arbeitstag ist der Umgang im kleinen Team familiär.
From the very first day at work, the atmosphere in the small team is warm and family-like.
Nach vielen gemeinsamen Jahren ist der Umgang im Team vertraut.
After many years of working together, the interactions within the team are familiar and trusting.