Best Treatment for Black Moles on Face?

I would recommend that you see a board certified dermatologist or facial plastic surgeon for an evaluation.  These lesions may not be moles, but instead a type of seborrheic keratosis.

I agree with the initial post: These are likely benign, genetic facial growths which are variants of seborrheic keratoses. These can be safely and completely removed with electrodessication or an Nd-YAG (1064 nm) laser. These treatments are effective and unlikely to leave a scar or discoloration. 

It sounds like you have a condition called dermatosis papulosa nigra.  It runs in families.  The lesions really aren't moles but a type of seborrheic keratosis (non-viral wart).  They are harmless.  If you want them removed, they can easily be removed by a variety of methods including hyfrecation (burning), snipping, and some people use laser (which I think is overkill) or cryosurgery (a bit risky if you have darker skin).  I find that the first 2 methods  I named are the most simple and generally work best. 

These are most likely not moles at all but little growths, common in darker skinned people, called dermatosis papulosa nigra. They share characteristics more typical of  seborrheic keratoses than actual moles. 

I find the best treatment is to cut off the lesions that protrude. Our office utilizes a special scissors which we call "the funky scissors" since I do not know the actual name of the scissors. ( I hope the inventor of these scissors never finds about our nominal substitution). 

  The flat lesions are best removed via electrosurgical cautery.