Suri and Tom Cruise in January 2012
Sharpshooter Images/Splash News Online
07/19/2012 at 03:45 PM EDT
Since Katie Holmes filed for divorce
from Tom Cruise
, their daughter Suri's world has changed.
But her father, who will get generous visitation with Suri who will live primarily
with Holmes, is determined to minimize the disruption to the 6-year-old's life.
"He's going to try, despite all the attention, to have things be as normal as possible," a source tells PEOPLE.
Cruise, who had been filming the movie Oblivion
in California, arrived in New York City on Tuesday. He was photographed carrying Suri
into a Manhattan hotel and later taking her to a gymnastics lesson. The father-daughter pair were then seen taking off in a helicopter
together on Wednesday.
Says the source: "It's going to be challenging" for Cruise who is suddenly a single dad
"But he's going to have a meaningful relationship with her, as he always has," the source continues. "[Suri will] visit him on movie sets when she's not in school. He'll call her all the time."
For much more on this story, including details on Tom's trusted inner circle, how he’s coping and Holmes's new life, pick up the new issue of PEOPLE, on newsstands now