The Prophet ﷺ used to like to start from the right side on wearing shoes, combing his hair and cleaning or washing himself and on doing anything else.  

كَانَ النَّبِيُّ ﷺ يُعْجِبُهُ التَّيَمُّنُ فِي تَنَعُّلِهِ وَتَرَجُّلِهِ وَطُهُورِهِ وَفِي شَأْنِهِ كُلِّهِ  

The Prophet ﷺ used his right hand for getting water for ablution and taking food, and his left hand for his evacuation and for anything repugnant.  

كَانَتْ يَدُ رَسُولِ اللَّهِ ﷺ الْيُمْنَى لِطُهُورِهِ وَطَعَامِهِ وَكَانَتْ يَدُهُ الْيُسْرَى لِخَلاَئِهِ وَمَا كَانَ مِنْ أَذًى  

That the Prophet ﷺ at the time of washing his deceased daughter had said to them, "Start from the right side beginning with those parts which are washed in ablution."  

قَالَ النَّبِيُّ ﷺ لَهُنَّ فِي غُسْلِ ابْنَتِهِ ابْدَأْنَ بِمَيَامِنِهَا وَمَوَاضِعِ الْوُضُوءِ مِنْهَا  

Messenger of Allah ﷺ , concerning his (dead) daughter's bath, said, "Start with the right side, and the parts which are washed in ablution."  

قَالَ رَسُولُ اللَّهِ ﷺ فِي غَسْلِ ابْنَتِهِ ابْدَأْنَ بِمَيَامِنِهَا وَمَوَاضِعِ الْوُضُوءِ مِنْهَا  

Messenger of Allah ﷺ said, "If you want to put on your shoes, put on the right shoe first; and if you want to take them off, take the left one first. Let the right shoe be the first to be put on and the last to be taken off."  

أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ إِذَا انْتَعَلَ أَحَدُكُمْ فَلْيَبْدَأْ بِالْيَمِينِ وَإِذَا نَزَعَ فَلْيَبْدَأْ بِالشِّمَالِ لِتَكُنِ الْيُمْنَى أَوَّلَهُمَا تُنْعَلُ وَآخِرَهُمَا تُنْزَعُ  

The Prophet ﷺ said: When you put on (a garment) and when you perform ablution, you should begin with your right side.  

قَالَ رَسُولُ اللَّهِ ﷺ إِذَا لَبِسْتُمْ وَإِذَا تَوَضَّأْتُمْ فَابْدَءُوا بِأَيَامِنِكُمْ  

When Messenger of Allah ﷺ had thrown pebbles at the Jamra and had sacrificed the animal, he turned (the right side) of his head towards the barber, and i. e shaved it. He then called Abu Talha al-Ansari and gave it to him. He then turned his left side and asked him (the barber) to shave. And he (the barber) shaved. and gave it to Abu Talha and told him to distribute it amongst the people.  

لَمَّا رَمَى رَسُولُ اللَّهِ ﷺ الْجَمْرَةَ وَنَحَرَ نُسُكَهُ وَحَلَقَ نَاوَلَ الْحَالِقَ شِقَّهُ الأَيْمَنَ فَحَلَقَهُ ثُمَّ دَعَا أَبَا طَلْحَةَ الأَنْصَارِيَّ فَأَعْطَاهُ إِيَّاهُ ثُمَّ نَاوَلَهُ الشِّقَّ الأَيْسَرَ فَقَالَ احْلِقْ فَحَلَقَهُ فَأَعْطَاهُ أَبَا طَلْحَةَ فَقَالَ اقْسِمْهُ بَيْنَ النَّاسِ  

Anas b. Malik (Allah be pleased wish him) reported that Messenger of Allah ﷺ came to Mina; he went to the Jamra and threw pebbles at it, after which he went to his lodging in Mina, and sacrificed the animal. He then called for a barber and, turning his right side to him, let him shave him; after which he tiimed his left side. He then gave (these hair) to the people.  

أَنَّ رَسُولَ اللَّهِ ﷺ أَتَى مِنًى فَأَتَى الْجَمْرَةَ فَرَمَاهَا ثُمَّ أَتَى مَنْزِلَهُ بِمِنًى وَنَحَرَ ثُمَّ قَالَ لِلْحَلاَّقِ خُذْ وَأَشَارَ إِلَى جَانِبِهِ الأَيْمَنِ ثُمَّ الأَيْسَرِ ثُمَّ جَعَلَ يُعْطِيهِ النَّاسَ