I cast with the right, reel with the left. Same as a spinning rod. Casting/conventional tackle I cast right and reel right since thats just how most casting reels are set up, I'm guessing for pitching/flipping type casts so you can avoid the reel handle. I've never had a problem with the line catching my reel fly casting on any cast that I made unless I really messed something up. Just seems natural to keep the rod in the same hand. Does anyone cast right, strip left, and reel right? That could be the best way, get to reel with your dominant hand when you need to pick up lots of line, but don't have to worry about switching hands immediately after the cast?