The Messenger of Allah (way peace be upon him) loved to start from the right-hand side for performing ablution, for combing (the hair) and wearing the shoes.
إِنْ كَانَ رَسُولُ اللَّهِ ﷺ لَيُحِبُّ التَّيَمُّنَ فِي طُهُورِهِ إِذَا تَطَهَّرَ وَفِي تَرَجُّلِهِ إِذَا تَرَجَّلَ وَفِي انْتِعَالِهِ إِذَا انْتَعَلَ