Is it permissible for me to cut the hair of girls, or style it, or braid it for them, and take payment, as long as they are under the age of puberty?

If girls have reached the age of desire (ishtaha), it is not permissible for you to touch them or look at them without a need, whether they have reached puberty or not. However, if they are young girls who do not inspire desire, it is permissible to cut and style their hair and to take payment for it, as long as there is no fear of temptation (fitna). It is permissible to touch and look at a young girl who does not inspire desire, as there is no fear of temptation. The determination of the age of desire is referred to custom, and the condition for permissibility is to be safe from inclining towards them emotionally.