There's an article on the BBC where a gay father is discussing the everyday sexism he gets for being a sahd.
www.bbc.co.uk/news/stories-44718727
(sorry don't know how to do clicky links)
I agree that some of the stuff is sexist (and possibly homaphobic) eg naming everything for "mums and babies" which may be regional as in my northern town it was rare 10 years ago.
However I was struck by his description of what happened in baby massage class when his baby wouldn't stop crying. He was hoping for support but instead got a list of questions and an offer to hold the baby. He found this condescending but I thought it sounded pretty standard. I've had a similar experience and from the questions asked was shown how to rub my baby's tummy in case she was constipated and of course she stopped screaming as soon as someone else held her.
I've had unsolicited advice from all directions and I suspect that younger mums get it even more.