What treatment options are available to remove these small flat moles all over my face? (Photo)

Mole removal begins with a comprehensive examination and consultation to determine the likelihood of a mole being worrisome. 
Excisional
and incisional biopsies are reserved for suspicious moles. But its good
news that most moles are not problematic and are only cosmetic, thus
leading to the option of scarless or non-surgical mole removal with
lasers and RF and plasma. 
Our office specializes in non-surgical mole removal. 
Best, 
Dr. Karamanoukian
Realself100 Surgeon

Getting a few zaps with electrofulguration will lighten them up nicely but is usually done once a month for a couple 2-3 times.  They will look so much better but will come back in a year or 5 years and need to be done again.  This is easy to do and doesn't scar at all.

I recommend getting an in-person formal evaluation with a board-certified cosmetic dermatologist. Moles can be removed with a laser, radiowave or shave. If there is any scarring or pigmentation following the removal, your dermatologist can treat those conditions as well. See an expert. Best, Dr. Emer

I would recommend to use Erbium:Yag Laser mild cold peel. This will peel the slightly raised skin and it will even it with the rest of your skin. This will subsequently remove the brown discolouration of these moles on your face. The healing is usually scarless but you may develop slight redness.

Thanks for your question and the photo - it is very helpful.  There are things you can do to lighten the pigment in the brown spots and improve the skin, but flat moles or lentigines or other non-raised lesions are a bit more tricky that little tags or raised lesions.  You would not want to have a lot of divets or scars, which would look less natural than the little brown spots if someone were to remove them with a biopsy procedure, unless one looks suspicious for skin cancer.  I would recommend seeing your dermatologist, especially if they have access to lasers and other procedures, and get the skin examined to make sure the lesions all look benign (non-cancerous).  Then you can discuss what would work best for your skin type, including a good topical regimen including a retinoid or retin-a, possibly hydroquinone to lighten the brown pigment, and a quality physical blocking sunscreen to keep the lesions from getting darker.  There are also lasers, including ClearLift and carbon peels,  or chemical peels that can help gradually fade brown spots.  Please see an expert, and best of luck!

Thank you for your question and photograph.There are a variety of removal options for moles including surgical procedures such as shave biopsies or excisions, laser treatments, or topical lightening creams. However, expectations vary for each option. Surgical procedures will result in scarring, and topical and laser treatments may not be as effective. I highly recommend you consult with a board certified dermatologist to have your skin evaluated and the lesions assessed for any irregularities prior to removal and to discuss appropriate treatment options. Take care and good luck.