My right hand is pretty dominant but I'm an ambidextrous knitter.
That is, I can knit left-needle to right or right-needle to left,
pick stitches or throw them, and use both hands for Fair Isle.
All of these maneuvers felt awkward in the extreme when I was first learning them, but now they feel natural.
It seems like an unnecessary burden for left-handed people to be told that they need to knit differently, and to reverse every pattern direction. Knitting is a two-handed process; both hands are part of the act, and when you're learning to knit, you are training each hand to perform its role. I think Sarah, who speaks from experience as a left-hander, has the right idea: there may be no need to separate yourself from the whole world of knitting techniques and patterns because of your hand dominance. You'll probably still want to use your left hand to cut threads and sew seams, but for the 95% of knitting that uses two hands, try the usual way first.