I heard something along the lines of you should treat your daughters better than your sons. Is this true or do we treat both children equally?
مَنْ دَخَلَ السُّوقَ فَاشْتُرِیَ تُحْفَهً فَحَمَلَهَا الی عِیَالِهِ کان کحامل صَدَقَهَ الی قَوْمٍ مَحَاوِیجَ ولیبدا بالاناث قَبْلَ الذکور فَانٍ مَنْ فَرَّحَ ابْنَتَهُ فکانما أَعْتَقَ رَقَبَهً مِنْ وُلْدِ اسماعیل وَ مَنْ أَقَرَّ بِعَیْنِ &ابْنٍ فکانما بکی مِنْ خَشْیَهِ اللَّهِ وَ مَنْ بکی مِنْ خَشْیَهِ اللَّهِ ادْخُلْهُ اللَّهُ جَنَّاتِ النَّعِیمِ ؛
«وسائل الشیعه، جلد ۱۵، صفحه۲۲۷»
Whoever who enters the market and buys gifts for his family, is like one who gives charity to the poor. He should give his daughter's gift before his sons. As one who brings happiness to his daughter is like who frees a slave of Ismael's children. And whoever who brings joy to his son, is like who cries from Allah's magnificence. One who cries as such, Allah will enter him into bountiful heavens.
I've also read another narration, but I wasn't able to find it. I'll try to update my answer later.
It was that there shouldn't be any different treatment* with your children, but if there was then I would say greet your daughters before your sons.
Note: This doesn't mean to treat your sons and girls virtually the same. Just that while boys and girls are inherently different, don't treat one of them better than the other.
So not better, just attend to them faster/sooner. Based on the verbiage of the narrations this is on a very minute level.