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.