The Bachelorcouple, who announced they're expecting earlier this month, stopped by Ben Higgins and Ashley Iaconetti's Almost Famous podcastearlier this week, where they dished about the names their child will not have.
"No Arie or Ariel or Aria. No plays off of Arie," Luyendyk, 37, assured of the baby, whose gender they know but have not yet announced. "We wouldn't do that to the little one."
Luyendyk and Burnham are even using a special app to narrow down the name possibilities.
"It's kind of like Tinder for baby names. So it'll just pop up a name with your last name and you can swipe yes or no on it," Burnham, 27, explained. "I think I have, like, 600 no names on there. So I spend a lot of time looking at baby names because I just want to get it nailed down, but we're still not quite there yet."
"She's stuck on a few, but we haven't really come to an agreement on it," Luyendyk added, before revealing that there are only about 20 yeses on the baby naming app.
The name is just one way the engaged couple is starting to plan for their little addition! Now that she's finally out of the "really hard" first trimester and is feeling like herself again, Burnham and Luyendyk are beginning to think about the nursery in their home, which they just decorated for the holidays.
"Right now it's a dog room that we have to convert," Luyendyk confessed. "We have a four-bedroom house. So when we bought this house, we definitely planned for the future. That is the one room that isn't finished, but we're going to dive into that pretty shortly here. So we're excited about that."
ET caught up with Luyendyk last month, where he revealed that the couple were planning on waiting until after their wedding to start a family.
"Obviously first the wedding, but we're really excited to start a family," he said at the time. "But I think we're just trying to get through this section. Obviously the wedding is such a huge part of our lives and it's going to be such a beautiful day."
Watch the video below for more on the expectant parents: