Left-Handed, Left-Eyed, etc.
Southpaws do have it tough. I am one, and I'm surprised we aren't an aggrieved minority so we could get free money. There's no doubt left-handedness is abnormal and maybe due to a touch of low oxygen at birth. It messes with your handwriting, but mainly with your shooting and tennis. Brain confusion.
If you are left-handed, and left-eyed - no big problem. You shoot lefty and if you want, you can buy a lefty gun, but I doubt it's worth the trouble unless you shoot competitively. (Easy to tell which eye is dominant - roll up a piece of paper and look through it like a telescope - which ever eye you use - that's it.)
If you're right-handed and left-eyed, it gets interesting. Mixed dominance for sure. Ideally, you would shoot lefty and play tennis righty, and just adjust and assume you'll never get to Wimbledon.
Bill Hanus offers advice on this age-old dilemma here. Hey Dylanologist - I know this applies to you, big guy.