Kim Kardashian and Beyonce often dress their little ones in similar styles to what they wear.
Kardashian and her husband, rapper Kanye West, went a step further and launched a high-end line of designer clothing for kids, TheKidsSupply, complete with tiny Yeezys, Kanye's brand of runners.
The couple famously have most of daughter North West's clothing custom-made.
So how much are Australian shoppers spending on what their kids wear? A lot (even if they don't have a bank balance like Beyonce's).
Thliveris said some designer dresses for under 10s made by Gucci and Dolce & Gabbana cost thousands (her site also stocks luxury brands including Stella McCartney and Kenzo, with Fendi and Aquazzura's junior collections "coming soon").
"We haven't got Gucci yet but a kids' dress from Gucci can fetch around $3000 or $4000," she said.
"They sell like hot cakes, that's the funny thing, they sell out."
And it's not just cashed-up celebs who are buying them.
"There are mums who are high earners and then there are mums who just love dressing their kids up in designer clothes," Thliveris said.
Thliveris, who opened e-store LM Bambini last November, named Blue Ivy as the "standout" for influencing Aussie shoppers, followed by royal tots Prince George and Princess Charlotte.
"I think it's that [Blue Ivy's] mum is Beyonce. That mini me that they're doing - she'll dress Ivy in the same item, the mini me version."
Blue Ivy is often photographed with her famous parents, wearing Dolce & Gabanna, Gucci and Stella McCartney.
"I saw Blue Ivy wearing a ValMax piece which we didn't stock," Thliveris said.
"I reposted the image [on social media] and the traffic to the website went crazy."
While Ivy's outfits usually retail in the thousands, Thliveris said shoppers who bought from her site were spending "probably around $250 to $300" on designer duds for their kids.
"It can be on a single item but often, it's two items," she said.
"People go crazy for that."