The sad part is, I like picking at them. It's fun
how about developing a new habit that involves picking? like say, picking your nose? :P
jokes apart, how about keeping some lip product (vasaline, olive oil, even lipgloss) on your lips at all times? this way, your lips will always be soft and you'll have nothing to "pick". and if you end up touching your lips, the product on your lips will tell your hands to back off (hopefully)