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