It is better for them to go out to Eid prayer, because the Prophet (peace and blessings of Allaah be upon him) enjoined that the women go out to the Eid prayer, even the adolescent girls and virgins – i.e., women who do not ordinarily go out.
He commanded them to go out, and he told the menstruating women to go out but to keep away from the prayer-place. So menstruating women should go out with other women for Eid, but they should not enter the place where the Eid prayer is offered, because the Eid prayer-place is a mosque and it is not permissible for a menstruating woman to stay there, but it is permissible for her to pass through or to take something she needs from it, without staying there. Based on this we say: women are commanded to go out to the Eid prayer and join the men in this prayer, because of the goodness, dhikr and du’aa’ they may experience there.
Majmoo’ Fataawa al-Shaykh Ibn ‘Uthaymeen, 16/210.
He also said:
But they must go out looking decent, not wearing adornment, makeup or perfume, so that they may combine following the Sunnah with avoiding fitnah.
What some women do of wearing adornment, makeup and perfume is because of their ignorance and negligence on the part of their guardians. This does not cancel out the general shar’i ruling, which is that women are commanded to go out to the Eid prayer.