Trigger-Warning for skin-picking?

So, I have picked at my cuticles, mainly on my thumbs for as long as I can remember. I would say that it was a nervous habit, but really I think that it was just almost like a self-comforting mechanism. I knew it was gross, but I couldn't stop myself from doing it habitually. It gets so bad that I have to cover my thumbs with bandages to let them heal a bit, but after I take them off, I inevitably go back to picking at them again. It's an embarrassing habit because people obviously ask why I constantly have bandaged fingers, and I wish I could stop, but I don't seem to be able to.

I've been to see therapists before, have a history of ED, depression, and anxiety, however no therapist has ever noticed/mentioned my skin-picking. I suppose my question is, is this an issue that anyone here has dealt with? If so, how did you go about solving it? Is this something appropriate to bring up with a therapist or a general practitioner? Any help/advice would be much appreciated.