The newest Duggar, who was born three months premature Dec. 10, weighing just 1 lb., 6 oz., is staying put – for now – in intensive care at Arkansas Children's Hospital.
Because the hospital does not allow underage visitors, every evening her siblings gather in their rented home close to the hospital and watch videos Jim Bob records on his iPhone from inside Josie's incubator.
"Jim Bob is getting all these good video clips each day," says Michelle, who takes shifts at the hospital with Jim Bob. "Her eyes are open, she waves and wiggles her hands and the other kids get the daily Josie update."
Ranging in age from 21 years to 13 months, the Duggar kids are anxious to know their new sister. Oldest son Josh, 21 and his wife, Anna, 21, have come to Little Rock to visit with their 3-month-old daughter, Mackynzie. The other kids still home – Jana, John David, Jill, Jessa, Jinger, Joseph, Josiah, Joy-Anna, Jedidiah, Jeremiah, Jason, James, Justin, Jackson, Johanna, Jennifer and Jordyn – are keeping current.
"They feel like even though they don't get to go to the hospital to see her," Michelle explains, "they are still getting to see her grow."
The siblings visited Josie shortly after her birth at University of Arkansas for Medical Sciences in Little Rock, Ark. But when Josie perforated her bowel at eight days old, the micropreemie was rushed to Arkansas Children's Hospital, which the Duggars say has a policy preventing children under the age of 18 from entering the ICU unit.
Meanwhile, the kids are settling into their rented home in Little Rock and are exploring the city with field trips their parents organize in between their homeschooling work.
"We are still involved in our other children's lives," says Jim Bob. "I take the kids to do things that are fun and educational, like touring the USS Razorback." Adds Michelle, "I came in from the hospital that night and my little ones had on sailor hats and were talking about how they liked to eat spinach."
Josie's first Christmas will be featured on TLC's 19 Kids and Counting, airing Tuesday.
For more on the Duggars and baby Josie, including exclusive photos, pick up PEOPLE on newsstands now.