I had a right arm injury a couple years ago and switched to using my left hand most things, and that lasted around 2 years. It was quite an experience, at first almost everything using my left hand was difficult and mentally tiring. Brushing my teeth, using certain utensils, using a mouse, etc. but eventually it became easier such that the difficulty didn't bother me that much (the exception was writing, I just found it too time-consuming doing it left-handed). I'd really like to see how your progress goes David!
For me, with all other activities, although I never got to the same proficiency/control as my right hand, I'd guess that my left-hand went from 30% to 70% proficient. Nowadays I'm back to being mainly righthanded since it's easy, but I'd say that the whole experience was useful since it makes using your other hand for tasks more of an option. Plus, it's fun if you like the challenge