If you're talking about handgun ammo and a few rounds here and there, a kenetic puller works usually fine. If you're dealing with rifle you might want to move on to a 'collet' style press mounted. The collet styles don't do well with lead bullets I'm told cause the squeeze them and don't get a grip.
For the kenetic ones two things to improve your results/safety. If you've crimped the rounds, use a bullet seater die to push them in a bit more and break the crimp sort of. And don't go the sloppy method of using a normal shell holder with them. If you don't use the supplied collet types holders with a kenetic and instead use a normal shell holder, you risk a potential of the round going off. Not real pleasant results that way.

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Pete.