Hi Joolay. We agree with Dr. Landi's suggestion. For the deeper veins, sclerotherapy is going to be the best option, especially if you are not having any pain, numbness or tingling. If Mom or Dad have vascular issues (especially varicose veins) then this will likely be an ongoing concern for you as the veins tend to recur and also get worse as you age.
For examples of before and after pictures for Orange County, CA vein removal patients, check the link below.