May 03, 2012 03:00 PM

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It’s been less than 24 hours since the baby’s arrival and already new dad J.R. Martinez is thinking about getting his daughter ready for play dates and school.

“She has a full head of hair!” he tells PEOPLE, laughing. “One of the first things I’m going to have to do is learn how to do her hair because she’s got a lot of it!”

One thing Martinez was certain about early on is that the name he and girlfriend Diana Gonzalez-Jones chose for their daughter would not be trendy like “Apple Cider or Salami.”

The Dancing With the Stars season 13 champ tells PEOPLE that little Lauryn Anabelle was named after two very special people.

“Her first name, Lauryn, is after Diana’s younger sister who passed away unexpectedly earlier this year,” Martinez, 28, explains. “And her middle name, Anabelle, is after my sister who passed away when she was 6.”

The couple decided to give their daughter, whom Martinez affectionately refers to as “our little lamb,” unique spellings of their sisters’ names so that “she will have her own identity.”

In fact, the couple have already nicknamed their little bundle of joy Belle. “It’s wonderful to call her by her name, finally,” Martinez says.

– Monica Rizzo

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