Try this. To circle right move your LEFT foot first- maybe 2" to the right, then pivot on your left foot, moving your right foot until you are again in position. It will change your angles and open up hooks to the left side of your opponent's body and to his chin- watch Bob Foster. Punch as you pivot, letting the weight settle back onto your right foot.
Also puts you in a great spot to follow up with a right hand that MUST have your weight behind it.