What exercises are good for treating/ getting rid of prominent leg veins?

None: No specific exercise will get rid of varicose veins. Exercise to strengthen the calf muscles may delay progression of venous disease.

Close leaking valves: Varicose veins are a result of malfunctioning valves usually in the saphenous system. The first step in treatment would be to obtain a venous reflux ultrasound to make the diagnosis and help plan treatment . Exercise will improve your muscle tone and increase your venous return but it will not get rid of your varicose veins. You should see a vein specialist.