urrr to be honest i think what i would do is just use it more... do shadow boxing using your left.. hit the bag and practice your technique with your left hooks and uppercuts... try to snap your punches and remember to turn into your punches with your hips..thats best for your hooks and uppercuts..
i personally prefer using my left hand , i dont know how or why.. i feel my left is more powerful.. although im right handed orthadox... strange but true.. i have better technique with my left hand and the more you get your technique down and feel comfortable with it the better your shots will be..
i guess practice does make perfect.. not that im perfect :P
peace