I am a Jackie-copycat!
Tho I'm right-handed also, I chose to have my battery on left side for the same reason - so I could use my right hand to operate the battery charger. I stick the charging unit over my battery which is on my left side. (I use my left hand to do that)

I recall this being a big decision for me as well, so it's good of you to be asking.
Regarding which side I sleep on....I turn in the night, so I end up sleeping on both sides. I'm so used to my battery being there now, that I don't even know it's there when i toss and turn.

Rae