I have a few broken capillaries/spider vein areas on my nose. not rosacea. what specific treatments are out there that most dermatologists know?

Options: I use laser, but there are other options, including hyfrecator, veingogh, and rf. See your local dermatologist or plastic surgeon.

Multiple options: I don' 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.

See a dermatologist: Electrodessicator is easy & cheap. Laser is often used. Most of these are erased after 1 zap.