I've had several moles removed. It doesn't hurt - in fact the local anaesthetic stings more than the removal of the mole. Your GP might well do it him or herself, so you won't have to go to hospital. Your GP will not be bothered by checking your mole or by removing it. It's what s/he gets paid for! And, as many people have said, I am sure the GP would much rather remove a mole before it turns nasty than have to give you bad news.