Glad this thread came up again. I went to my dermatologist about a month ago. I wanted to get the moles hacked off, but he suggested that it would not be a good idea. They are too flat and the resulting scar would look worse. So, I left them alone.
Also, it has been a long time since I have nicked one of them. I probably just jinxed myself.
I'm sort of surprised that your dermatologist didn't recommend liquid nitrogen freezing. I know a person who had a bunch of moles all over and went to a dermatologist semi-annually and had a dozen or so frozen off per visit.
I have this one mole that keeps coming back in my armpit. As gnarly as it sounds I just cut it off with fingernail clippers. It's almost painless 
Probably not a mole, but a "skin tag." Easily removed by a dermdoc (I had a whole pit-garden harvested a couple of years back, one the size of a lima bean; there are signs of resprouting). For the bold, I suppose self-surgery might be an option. But with a good medplan, hire it out.
I think what you might be talking about is a skin tag, though... those are different. A mole is a raised part of the skin usually with a darker pigment color to them. But, either way, a doc should check them out. And look for my personal intro in a new thread
I get skin tags all over the place and have had a few removed along the perineum just to make sure they were nothing abnormal or to be concerned about. Those were the only ones that got irritating. Fortunately, I have not had any on my noggin with the exception of a small one on my upper eyelid.
Word of CAUTION. Moles could be a serious matter. If you have one and it is bothersome, gets sore or starts to turn darker, go see your doctor. My wife had to have a could cut off and they sent them off to be tested because they could form into cancer. So maybe "slicing" one off isnt such a good thing guys. Just my opinion, take that seriously, as you do shaving your head.
Completely agree. Moles are very serious and continual irritation can cause them to become cancerous.