I found it so much easier to just flip with my left hand. I'm right handed and have never had a problem this way. I bought two lefty zillions and after a month of practice I felt I was missing much more bites. But since you've never used a bait caster it may be good for you to start on a lefty. Now a spinning reel I still use my left hand to reel with. Also I'd like to add that most likley we all cast with both hand and if not you're wearing yourself out and losing casting distance. Find what's comfortable for you and stick with it. You can't say one way is better than the other because we are all differnt.
I pitch and flip with my left mostly and I'm right handed. Regular casting is with my right then I switch hands most of the time with the bait in mid flight. I cast with two hands mostly so it makes the switch easier.
I never have really got the hang of spinning gear so I don't use it for bass fishing.