Will hairs be removed with the mole or will I require a separate procedure?

Especially in moles that exist from birth on or develop in the first two years of life, mole cells my be located deep around the root oft the hair. Your dermatologist may remove the hairs and nevus cells with radiowaves or electric current in combination with shaving off the mole. Cutting and a fine suture is another option.

An ellipitical excision of your cheek mole will remove the underlying hair follicles as well. Any other method of mole removal, such as a shave or laser, will not only leave a wider scar but the hairs as well.

An excision of the mole would definitely remove both the pigment cells & the hairs in the mole. Should you desire just the hair removal, this can be done with a laser device [such as a diode laser].

Your mole is not difficult to remove surgically. In a few minutes, you could trade it and the hairs for a very fine pink line that would tend to almost disappear over about a year.

An alternative option is to use a laser which works on brown pigment, such as an alexandrite laser. Assuming the hairs are dark, you could get them too. It would however take several treatments, and likely cost more. Also there is no guarantee the mole would completely disappear. 

I would vote for surgical excision by a surgeon experienced in working on the face. 

Most moles do have some hairs growing through the middle of them.  If you excise the mole with stitches then the mole and the hairs should be gone.  If you just have it shaved off, the hairs will remain and can be lasered later if needed and if they are darker in color.  Your dermatologist should be able to explain these options to you and the risks and benefits of both options.