The first picture: Nicole Kidman takes baby Sunday Rose out for a stroll around London

To the hundreds of others in the busy street, it probably looked like a novel way for someone to carry their shopping. But these exclusive pictures show Nicole Kidman out for the first time apparently carrying her baby daughter, Sunday Rose.

Ms Kidman took a stroll around Portobello Road in London’s Notting Hill yesterday, wearing a trendy baby sling. She cradled it protectively as she walked around, with other shoppers oblivious to the actress’s presence.

The Moulin Rouge star, whose film Malice is being given away on DVD with The Mail on Sunday today, browsed market stalls before going into a cafe with a friend, where she seemed to be holding Sunday Rose in her lap. Ms Kidman, 41, smiled down at her daughter several times, and appeared to be enjoying the first weeks of motherhood.

She gave birth to Sunday Rose, named after Australian art collector Sunday Reed, on July 7 in Nashville, Tennessee, where she lives with her husband Keith Urban. The Australian actress has two adopted children with ex-husband Tom Cruise – Isabella, 15, and Connor, 13 – and she and Urban reportedly plan to move to LA to be closer to them.

Ms Kidman has revealed that her baby has red-tinged hair, and has said: ‘She’s like a doll ... a little, little thing.’