I'm right-handed, but do some other things left-handed too, like holding the knife in my left hand while eating. This has always seems much more logical to me, since the knife is a secondary tool. I hold the fork in my right hand regardless of if my left is holding a knife or not.
I also notice that when raking leaves, or mopping a floor, I can never make up my mind which handedness feels more comfortable, and just switch between them.
But I was very handed when it came to holding our daughter. Always her head on my right side, whether cradling or with her head on my shoulder. I didn't have a problem doing simple tasks with my free non-dominant (left) hand, but cradling a baby seemed too important a task to give to it!