'Urwa has narrated it on the authority of 'A'isha that when Messenger of Allah ﷺ took a bath because of sexual intercourse, he first washed his hands before dipping one of them into the basin, and then performed ablu- tion as is done for prayer.
أَنَّ رَسُولَ اللَّهِ ﷺ كَانَ إِذَا اغْتَسَلَ مِنَ الْجَنَابَةِ بَدَأَ فَغَسَلَ يَدَيْهِ قَبْلَ أَنْ يُدْخِلَ يَدَهُ فِي الإِنَاءِ ثُمَّ تَوَضَّأَ مِثْلَ وُضُوئِهِ لِلصَّلاَةِ
"When AlIah's Messenger wanted to perform Ghusl for Janabah, he would begin by washing his hands before putting them into the vessel. Then he would wash his private area, and perform the Wudu (as one does) for Salat. Then he would wet his hair with the water, then he would pour water over his head with his hands three times."
كَانَ رَسُولُ اللَّهِ ﷺ إِذَا أَرَادَ أَنْ يَغْتَسِلَ مِنَ الْجَنَابَةِ بَدَأَ فَغَسَلَ يَدَيْهِ قَبْلَ أَنْ يُدْخِلَهُمَا الإِنَاءَ ثُمَّ غَسَلَ فَرْجَهُ وَيَتَوَضَّأُ وُضُوءَهُ لِلصَّلاَةِ ثُمَّ يُشَرِّبُ شَعْرَهُ الْمَاءَ ثُمَّ يَحْثِي عَلَى رَأْسِهِ ثَلاَثَ حَثَيَاتٍ
'Urwa has narrated it on the authority of 'A'isha that when Messenger of Allah ﷺ took a bath because of sexual intercourse, he first washed his hands before dipping one of them into the basin, and then performed ablu- tion as is done for prayer. (Using translation from Muslim 316d)
أَنَّ رَسُولَ اللهِ ﷺ كَانَ إِذَا اغْتَسَلَ مِنَ الْجَنَابَةِ بَدَأَ فَغَسَلَ يَدَيْهِ مِنَ الْإِنَاءِ قَبْلَ أَنْ يُدْخِلَ يَدَهُ فِي الْإِنَاءِ ثُمَّ تَوَضَّأَ مِثْلَ وَضُوئِهِ لِلصَّلَاةِ