Hi Wolf
I am not a parrent but I been babysitting of a now 6 year old biologically boy, who is very clear that she is a girl.
I also dated a guy with a kid who is raised gender neutral, so it kinda out from these things I will answer.
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I had abit of the same thougts. Kids are kids and the whole transgender thing with kids are also a taboo itself specially on the "if we will influence them to become transgender" ("because sure transgender only raise transgender kids like cisgender only raise cisgenders"). When I where a child, transgender kids did not exist in the matter that it was unheard of. I dont think I where fully aware of being trans before I where 12 and found a artical about it, but before I where kinda gender neutral in a way and I did had a few signs with people only readed as being diffrent, naugthy or tomboyish..
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When I first meet the kid which identify as a girl she was around 5, She is very girly, and love everything with dresses and princess and so on. her parrents had contacted the glbt in desperation because there kid where very unhappy as a boy, and they got to arrenge a meeting with focus on trans youngsters and there parrents.
She now live as a girl but the parrent are trying to be as gender neutrual as posible.
They don't expect her to grow up as a girl or a boy, and they dont encourage neither to happent, they pretty much let her live for the moment and see whats makes her happy now and then they take the problems as they come. I think its the best way to go with it.
they dont really try to put up with genderoles and just let them be kids. When I where to her birthday they boys where able to get tattoos with princess as well as the girls, and even when she was dressed as a princess she also dressed as a knight.
I think its best try to not to worry and just let them be kids, also try to be openminded and ask what they think about.
if she say she want to be a boy simple because her brother gets some more cool toy then she also should get this cool toy insteed of dolls and its the problem lays deeper than that, then we should take it there.
I guess I should also mention both the guy I dated kid, and this 5 year old girl, was put in genderneutral kindergarden. First she was in a normal kindergarden but the adult had very difficult to accept her for being herself. So its important as an adult to find some places where there also gonna be openminded as well, which can be a challenging. Maybe theres trans-youngster groups around your place where you can figure out information and get in contact with others in simular situations. if not theres alwasy the internet you can seach and maybe find someone closeby who want to meet for a talk.