What laser treatment should I seek for to treat faint bruising/tiny spider veins on my upper lip? (Photo)

The bruising/tiny spider veins are barely noticeable and were caused by the Tria Laser Hair Removal device (diode laser technology) and also cause by electrolysis (The Blend Method (galvanic & shortwave)) The damage looks like a patchy five-clock shadow (depending on the light) and the redness/bruising is more noticeable when skin is wet. Eventually I would like to get the hair on my chin and upper lip removed but afraid to now for the fear that the redness/bruising might be too noticeable.