I have a mole on the border of my lip that I need to have removed. Mole Removal by Dermatologist or Plastic Surgeon?

Although dermatologists are completely qualified to remove moles, plastic surgeons are more qualified to keep the scar minimum afterwards.
Depending on your insurance, it may be possible for your excision to be covered, even if it is removed by a doctor outside of the network.
If your main objective is to have your face looking as if nothing were ever there, it is worth the expense for a board certified plastic surgeon to remove your mole. Especially since it is bordering your lip, which is a very delicate area, I recommend you find a plastic surgeon in your area.

 Any removal of a malignant mole around the lip is best done with pathologic confirmation. After that pathology confirms the malignancy is fully removed, the repair would best be done by a plastic surgeon.   Many plastic surgeons also do the excision of the mole as well. I would check with your local plastic surgeon who specializes in skin malignancies.

DEFINITELY go to a Board Certified Plastic Surgeon. The lips are a complex area that even general surgeons don't spend a lot of time with. You may first see someone who does Mohs surgery, but then the next step is closure by the plastic surgeon.