I had long hair for decades before I transitioned, and generally was just treated as another customer. I moved and started going to a chain salon in a mall, and they were happy to cut my hair, but would charge me women's prices as it was more applicable for my hair. The last time I went there a young staff member told me I had to wait for the men's barber to come back from lunch as she only cut women's hair. I told her that in the past they had always cut my hair as a woman and charged the women's rate, but she wouldn't budge. as I said, that was the last time I went there.
I was recommended to try a suburban salon and I told the owner I was trans. She welcomed me warmly, and has been amazing ever since, treating my like any other woman there. I think it is well worth finding an accepting salon and sticking with them.
Hugs,
Allie