General:
* Close-knit
* Tight-knit
* Supportive
* Nurturing
* Loving
* Warm
* Welcoming
Focused on values:
* Traditional
* Conservative
* Values-driven
* Homebody
More specific:
* Child-friendly (if it's specifically about being welcoming to kids)
* Multi-generational (if it's about having members of different generations)
The best word to use will depend on the specific context.