updated 07/05/2012 AT 4:30 PM ET
•originally published 07/05/2012 AT 1:50 PM ET
She’s one busy mom on the go.
The mother-daughter duo, who moved into a new, three-bedroom home, were matching in pink patterns as they arrived with bodyguards to face waiting photographers.
Later in the day the 6-year-old played “doorman” at Alice’s Teacup on New York’s Upper East Side. “Suri walked out with a shopping bag and a sparkly fairy wand,” an onlooker tells PEOPLE. “She insisted on holding the door for the whole group. Very sweet – so polite.”
Holmes, 33, filed for divorce from Tom Cruise last week in a decision sources say blindsided the actor, who spent his 50th birthday at home in Los Angeles with his older children, Connor, 17, and Isabella, 19.