Having raised my 4 children in the gender neutral 90's and 00's - compared to now - and having a new grandson that my DD is very keen to raise as gender neutral as possible I can understand your difficulties.
Neither of my sons wear 'mens' clothes and wear what they want but from 'women's' ranges. They prefer the colours, fabric and fit. They both dress traditionally male (one less so but still has a full beard).
Equality isn't about running against men in the same race, so it's not about a smaller female carrying the heavy shopping bags when it's not such a big load for a larger male. That's kindness and consideration, both qualities we want our sons (and daughters) to have.
Mostly it's about choice and challenging long held views; Why is pink so offensive for boys? Why are cars boys toys? Why are boys clothes dull and have aggressive predatory creatures on them whilst girls have prey type cuddly animals on them?
There are no boys toys. There are no girls toys. There are only toys.
I wanted my sons and daughters to have ALL the experiences I could give them. The girls had tools, action figures and both learned to fly, shoot and both do DIY and outdoor pursuits but they also like heels, nail varnish (doesn't last a day) and other things that might be considered feminine. Both girls love sport.
Both my sons cook, wear nail varnish (one wears full make up) and like interior design, one studied childcare to level 3, but also garden, do outdoor pursuits and building work. Both hate sport.
Boys organised sport, in my opinion, is fairly toxic. As I say in my opinion. My sons did not participate and my DD doesn't want her son to either. There are plenty of sports that don't have the toxicity that we believe football, rugby etc have.
Challenging your own long held beliefs is the first step. Family members are much harder.