'Magical' way motherhood has brought Rumer Willis closer to parents Bruce Willis and Demi Moore

There's nothing quite like a new baby to bring family together.

Seeing what genes have been carried on, what family mannerisms the baby's showing and how this little bundle of joy is a tangible reminder of the circle of life you've all been involved in is a joyful experience.

That magical moment in time is exactly where Rumer Willis is right now, with her new baby Louetta and her doting new grandparents Demi Moore and Bruce Willis.

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The Hollywood actress tells People, "I love watching them with her."

The 35-year-old revealed the new addition to her family has made her look at her own parents with fresh eyes.

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"I think inherently, some of the most magical parts of myself are definitely from them… so I feel like that will be passed down to her."

The new mum says, in fact, the whole family is "just obsessed with her", with sisters Tallulah, Scout, Evelyn and Mabel also fighting for time with the new addition.

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"They love her so much. It's such a joy to see," she says.

But like most new mums, becoming a parent has made her reflect on the new role with partner Derek Richard Thomas.

"I also think it's amazing, being able to discover myself as a mom - and her dad and I discovering ourselves as parents."

The new mum admits while they loved their childhood, having a baby of their own has made them stop and consider how they would do things differently. 

"We're discovering how we want to parent, and how we're taking certain things from our parents, but also how we're kind of forming new things for ourselves because there's so much that we have access to that our parents didn't."

The couple are now looking forward to their first Christmas together - bringing Louetta into their big family's festive traditions.

"We always do stuff together at Christmas and everybody has a stocking and to just be able to see her there this Christmas, it's exciting," she says.

"Christmas is such a big holiday for us."

And it looks like they won't be holding back from spoiling the new bub, with Rumer admitting she's excited for "all the presents for me going to Lou".

Louetta is one lucky baby.