I have a Telangiectasia below lower lip. What are my best treatment options: Laser or Scleratherapy?

I would definitely recommend laser treatment for the telangiectasia under your lip. Given the size and location of the lesion,  laser will give you a very nice result. Specifically, a pulsed dye laser or 532nm KTP laser would be most effective. You can expect a small amount of swelling and there is a possibility of a small purplish bruise in this area which will resolve within a week. You can cover this area with concealer make up if you desire after treatment. Best wishes.

Laser is the treatment of choice. I have used the Dornier 940 diode with excellent results and no side effects.

The V Beam by Candela is a 595 nm pulse dye laser that is utilized for venous lakes, the purplish reticular veins on the face, especially on the lip or on the skin below the lip. I like to use either the KTP 532 nm laser or the 1064 nm ND YAG LASER to treat reticular veins on the face or lip. 

Telangiectasias around mouth are the best and most safely treated with the pulsed-dye laser. 

The best treatment for veins of the face is a laser, I would not consider sclerotherapy on the face for fear of scarring.