You can use a drill with either hand like most of the locksmiths I have seen on service calls around me. I have seen one locksmith pick a lock but it doesn't seem to be a major job requirment in my area.
I have had to pick locks that were in wierd places that I could only reach with my left hand. My friend lost the keys to a small safe, it was in a closet and I could only reach it with my left hand. I was lucky it was only a wafer lock. If your practice locks get too easy you can always try to pick with your left hand(assuming you are right handed).
But unless you want to be a navy SEAL or some kind of special operative where you'd need to pick locks hanging upside down from a harness wearing nightvision goggles or something, I doubt it's something you need to consider too hard.
Unless you get your picking hand caught in your key machine
Then it could be useful to be able to pick with the other hand.
But if that happens, you really had no business taking off your helmet, and getting off the short bus to begin with.
