August 16, 2011 02:00 PM

Kevin Mazur/WireImage

After a “few weeks of waiting,” David Beckham is thrilled to take his bonding with baby — daughter Harper Seven — to a whole new level.

While mom Victoria has been busy nursing the 5-week-old, the couple is now adding pumped bottles to the mix.

“It’s so important that they have that mother-daughter bond and breastfeeding, I think, is really an incredible thing,” Beckham, 36, told PEOPLE during Sunday’s Do Something Awards in Los Angeles, Calif.

“We’re in the process of putting it in bottles now, so that means I get to feed her — which has been amazing.”

Equally excited to take care of their new sister are brothers Brooklyn Joseph, 12, Romeo James, 8½, and Cruz David, 6½, shares Beckham, who insists that a strong family core is top priority.

“It’s just the way [Victoria and I] were brought up as kids; it’s the way we are bringing our kids up,” he says. “We make sure that the most important thing to us is our family and we’re all grounded. No matter what goes on around us, no matter what situation it is, we come together as a family and we deal with it.”

Reaffirming his dedication as a dad, Beckham is sporting some new ink these days, which only adds to his collection of tattoos.

“Obviously it’s a special one because it’s my daughter’s name,” he explains. “My first tattoo is my oldest son Brooklyn … I have all my sons’ names on me. I have my wife’s name … and I have a picture of my wife.”

— Anya Leon with reporting by Vanessa Diaz

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