Perhaps I had an unusual upbringing but I was totally unaware of any gender stereotyping until I entered the world of work.
My DF was one of 3 boys who had all been well schooled in cooking, cleaning, washing and ironing by my Gran. My mother, brought up in a 2 girl family, with an invalid Mother, was similarly well versed in all aspects of housekeeping + gardening, DIY, etc. Even in their hobbies (ballroom dancing and mixed doubles badminton) they were equal partners. My Mother always worked, freelance when we were wee, so that she could co-ordinate her work with my Father's shift patterns, ensuring that there was always at least one parent at home for us.
My sister and I grew up accustomed to Dad cooking while Mum was the baker, either of them washing, ironing, painting and wallpapering, Although the gardening (fruit and veg) was Dad's domain, with much help from us kids, we all joined in with tattie howking & fruit picking and making pounds of jams and jellies. Both parents could drive so it might be one or t'other who took us on outings, shopping, or going to appointments. (My Dad famously passed out at the Dentists while I was having all my back teeth removed
Dad liked his toys, so it was he who instigated the enormous trainset which we played with for hours all over the living room to mum's annoyance, The home made Doll's House with electric Lighting!, papered, painted, and furnished exactly like our prefab, was, however, a joint effort. We were equally happy in dungarees working at the allotment with Dad or in frilly frocks at one of Mum's famous Children's Parties.
I married young to an 'only son' who had no preconceived notions about differences in what girls/boys did. Consequently our two DDs were as comfortable helping Dad in his joiner's workshop, or me wallpapering, washing the works van, making cakes and jam or going to dance classes/sports training.
I am happy to say that our DDs, now with their own children, 2 girls and (a big surprise) 1 boy, continue to provide a non gender specific childhood where activities across a wide spectrum are encouraged for all, according to their own talents and preferences. As it happens, the boy is the one most concerned with his appearance, hair and clothing and has always been the most cautious of the 3 whereas the girls are devil may care and up for any adventure. But that is just their own personalities, isn't it?