How can i eliminate or diminish the red spider veins under my nose?

Multiple options: There is no way to get rid of all of them forever. There are many options to treat these but you will get new ones over time. I use either a laser or radiofrequency device with excellent results.

Treatment: You may hide them with make up or you will need to see someone o treat them-usually with a laser. Therapy must be individualized to your skin type etc.

Laser, RF: I agree with drs. Rosenfeld and hansen, you can cover them up with make up but if you want to do something more permanent, consider rf thermocoagulation or laser. Sclerotherapy also works but it takes a lot of experience to get into small vessels like you are talking about and you are probably going to get better results by doing something else.

Multiple options: I don't think that there is a single best way but there are mutiple options including sclerotherapy, ipl, laser, veinwave, veingogh and micro needle radio frequency. The size of the veins and the training and experience of the treating physician usually influence what treatment is recommended. My usual treatment is sclerotherapy or laser for very small veins. You should see a vein specialist.