Hi PM. If we could, we would suggest that instead of focusing on the brand of the laser, you focus on the TYPE of the laser and the experience of the person using it. In the past 10 years we have done over 100,000 laser procedures and our recommendation for small facial veins would be a KTP laser (example, Lasersope Lyra, 532 nm wavelength) or a long pulsed Nd:Yg laser (examples Sciton profile or Laserscope Lyra, 1064 nm wavelength). While the pulsed dye lasers may help (VBeam and VStar, 585 nm wavelength), they are not as effective at getting rid of visible blood vessels that can be seen and traced as the other types of lasers are. They also have the effect of bruising the skin after treatment and these bruises can last up to 10 days.
In addition, the person doing the treatment will make a big difference in your result. Even if you find the right type of laser, if the person doing the treatment does not understand the correlation between pulse width of the laser and the size of the vein, they may fail to produce the results you desire. Hope this helps and good luck.