It should be done on the left. I had my nose pierced first when I was 17 with a gun. My mum did it till I got bored with it after a few years and didnt wear anything in it which resulted in it closing.
Then I went to Pakistan two years ago and got it done with hand by a jeweller.
Comparing both, I prefer and suggest it done by hand, its less painful, more accurate and heals much much faster as you get a ring and not a stud in the nose.
I'd say the same, by hand is really less painful and yup heals faster too...