I struggle with this (I tend to go for the skin around my fingers the most and they look just awful).

I don't consider it self-harm personally. It stems from anxiety and habit, there is no intent to hurt myself even though I do go too far sometimes and end up bleeding.

I think that for your picking to count as self-harm, there has to be that intent to cause yourself pain in order to relieve emotional pain. Dermatillomania does not qualify as self-harm.

So you need to ask yourself whether there is intent to harm yourself and that's why you're doing it, or if it's a compulsion that just happens to be harmful sometimes.