I think the most important thing is your daughters being FREEEEEEEEEEEEE to choose and having maxiumum exposure...never, ever, ever being limited by gender stereotypes.
I grew up in an era in which the world still ran on "Betty Crocker vs Marlboro Man."
I was a very inherently athletic young girl who lived and breathed to be moving.
Cutting to the chase, I did play tennis, ran some during PE in school( but there was NO opportunity for a female track, for instance) and played competitive sports like hockey and soccer during PE and competitively with other girls teams.
What I would have loved was running and running hurdles. I was made for it. When I was 12, the boys used to be out practicing for track and hurdles after school. I began running and jumping hurdles without asking anyone if I could, etc, alongside the boys, or inbetween when they were running/jumping.
Within a very short time, I was banned from running/jumping. The problem? I could out-run and out-jump all the boys and this was NOT ok. I was told much later, when I was in highschool, by a female PE teacher who had been at the school where this happened, that the male coach has timed me and I'd broken some kind of time running the 60 yard dash.
I didn't give a toot about records or even, really, about competing. I was a young girl in motion who loved being in motion with every cell of my being and who needed it too.
The import of this experiece is that still, now, at the age of 58, I find myself tearing up as I write this.
So, yeah. Women and men are different. And even among only women, we are different at different ages. But those differences are not what is most important about us. They do not and cannot define us.
I don't think in today's world, what I experieced would ever be overtly played out with young girls today.
But being free to choose and free to develop and free to push limits is a big, big deal and nothing should ever stand in the way of any girl/woman taking her body and psyche to whatever outerlimits, self defined, that she chooses.