Peaches Geldof and fianc Tom share a tender moment during rare time off from nappy duty

Baby bliss! Peaches Geldof and fianc Tom share a tender moment on first break from nappy duty

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UPDATED:

14:25 GMT, 1 May 2012

Peaches Geldof and her fianc Tom Cohen appear to be settling into parenthood well.

The couple have been spotted out and about with and without their newborn son Astala this week.

The new parents arrived home on a rainy day in London with their baby in a covered pram.

Settling into parenthood: New parents Peaches Geldof and Tom Cohen were pictured returning to their London home in the rain recently with their new baby boy Astala

Settling into parenthood: Peaches Geldof and Tom Cohen were pictured returning to their London home in the rain recently with their new baby boy Astala

The couple shared the weight as they carried their bundle of joy, who was born last month, inside their house after an outing.

Peaches, 23, and Tom also managed to grab a few moments to themselves yesterday in the sunshine.

The pair were pictured enjoying a bite to eat and reading the newspaper as they sat together in a local park.

Helping hand: The new parents shared the burden of the pram as they carried their beloved newborn son into their home

Helping hand: The new parents shared the burden of the pram as they carried their beloved newborn son into their home

Time out: The couple were later pictured taking a walk without their son

Time out: The couple were later pictured taking a walk without their son

Looking blissfully in love, the parents sat close together and kissed and cuddled affectionately, before heading back to their beloved baby.

Astala Dylan Willow Cohen-Geldof was born the week before last, with Peaches confirming the happy news on Twitter.

She wrote: 'yes, it's true – I'M A MUMMY!'

Tender moment: Tom planted a kiss on his fiance's forehead as the pair stopped for a quick bite

Tender moment: Tom planted a kiss on his fiance's forehead as the pair stopped for a quick bite

'My little boy is the most beautiful
thing in this world. When he holds @tomfromscum's finger with his hand
its the sweetest thing ever.'

But while the new parents are in a state of bliss following the arrival, Peaches' father Bob Geldof is reported to not be so enamoured with his grandson's name.

The Sun quotes the musician as saying: 'Yuck! What’s he going to be called in school Ass Stella It’s a girl’s name, let’s face it.'

His criticism is a bit rich, given his
own habit of naming his children bizarrely – from Fifi Trixibelle to
Peaches Honeyblossom and Little Pixie.

Kiss me quick! Peaches leaned in for a kiss

Kiss me quick! Peaches leaned in for a kiss

There's no going back now, and the couple had picked out their son's name months before the birth.

They revealed what they would be naming the baby before the birth to Hello! magazine. We found Astala in a baby name book – quite an obscure one,' she said. 'This is going to be a very stylish baby.

'I wanted a Jewish name because my fiance is a Jew and the name is the male version of Esther.'

Time off: The parents enjoyed a bite to eat and read the newspapers before heading back home to their bundle of joy

Time off: The parents enjoyed a bite to eat and read the newspapers before heading back home to their bundle of joy