The couple were taking their little boy to the doctors for a checkup in LA, and judging by Simon's sunny demeanor he was looking forward to hearing how his little boy is getting on.
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Simon has said he was "born to be a dad," and that he was reduced to tears when he laid eyes on his son for the first time, and was surprised by the immediate love he had for the precious bundle of joy.
He explained:"I actually said to Lauren beforehand, 'What if I like the dogs more than him?' and she said, 'You're gonna be absolutely fine,' and then literally within seconds of him being born, I got it."
As Simon and Lauren went about their errands with Eric, The eighth season of America's Got Talent - the show Simon originally devised, got underway in Los Angeles.
Meanwhile Heidi Klum and Melanie Brown launched the search for a new star on America's got Talent.
Judges Heidi Klum and former Spice Girl Melanie Brown strolled the red carpet at the Hollywood round of auditions, which took place at the Dolby Theater.
Mel chose an all-white ensemble for the occasion while German model Heidi ramped up the glamour in a low-cut black and leopard print dress.
The ladies were joined on the red carpet at the auditions by fellow judges Howie Mandel and Howard Stern and America's Got Talent host Nick Cannon.