Hello! As moles can become cancerous i would definitely see your GP about getting them removed, they may refer you to a dermatologist. I have a couple of experiences that may be of help to you.
I had a small mole on my chin and i kept lopping the top off when shaving, this went on for years, and i mentioned the inconvenience of it to my doctor. He got me an appointment to have it removed. It was a quick local anaesthetic taking a couple of minutes, with the wound being cauterised. No big deal, and i have been shaving without drawing blood since!
The other was about 3 years ago i slipped on ice and virtually did the splits, i really hurt myself! The only sign was a small purple bruise at the back of my thigh (Hamstring?)
Anyway, i fully recovered, but the “bruise” never went, but being where it was, was kind of out of sight, out of mind. But my OH noticed it was starting to spread. So i made an appointment to see my GP. This was now July 2019, he was mystified so refered me to a dermatologist, which he said, could be a while. It was! The first Sunday of 2020 i actually saw the dermatologist, she said she didn’t know what it was, so best to have it removed. I was actually shocked to get an appointment for the end of January!
I had a local anaesthetic and they went in deep and long, requiring 10 stitches. They said i’d get the biopsy results in 2 weeks, but due to Covid it was July! It was a benign cancer caused by tissue trauma.
So go to your GP tell them that you are worried about skin cancer, especially on your face, and that the bodily ones rub on your clothes causing pain. You don’t state your gender, but if male you could mention shaving problems. Also you could mention anxiety/self consciousness stemming from your childhood bullying.
Hopefully the NHS will do it. But if not, i would do some internet research on good private practices. As it’s quite minor local anaesthetic procedures, taking very little time (My recent leg op was in and out within 30 minutes) i would expect it to be relatively cheap.
Hope this helps and remember it’s your personality that counts!