The Messenger of Allah [SAW] liked to start on the right whenever possible; when purifying himself, when putting on his shoes, and when combing his hair.  

أَنَّ رَسُولَ اللَّهِ ﷺ كَانَ يُحِبُّ التَّيَامُنَ مَا اسْتَطَاعَ فِي طُهُورِهِ وَتَنَعُّلِهِ وَتَرَجُّلِهِ