well, it could be easy, but it likely won't be THAT easy. First, unless you use some of the fast drying "superglue" types, you apply glue, stick on a feather, then wait about 15 minutes before you go on to the next. A multi type fletching jig, or multiple jigs allows you to go faster.
There are many jigs available, the old standby Bitzenburger jig is one of the longstanding good ones, very adjustable. Not so cheap, especially if you are buying multiples.
If you use tape, a single jig is all you need and really have no down (wait) time. I personally use the Bitzenburger jig because it is so adjustable. I also use tape with cap wraps. Glue compatibility is a non issue then.
I myself did not have luck using the Arizona jig, but others certainly do.
Regarding left or right fletch... well, there are some differences, availability on a day to day basis may be one of them, but really I find it makes no difference in arrow flight. If you use single bevel heads, it is best to match the handedness of both the fletch and the blade bevels.
ChuckC