Alexis,
It really depends on the size as to what the veins are termed. It sounds like you probably have a small area of spider veins (a little cluster) or perhaps a raised reticular vein. Varicosities can be anywhere on the leg, some people even develop them in their groin, vaginal, and lower abdominal areas. Varicose veins really tend to bulge out and you can actually run your hand over the skin and feel it protruding. This is a result of blood backing up and pooling in the vein,pressure builds and the vein bulges. Some of the things that cause vein problems: hormones, weight, heredity, injury to the area. It's hard for me to know exactly what you have,since I can't see it, obviously, but what you are describing doesn't sound like anything too extensive.
There are a lot of good Physician's and clinics to treat these. But ask for credentials and it doesn't hurt to compare prices. We had photos of many customers before and after (without showing their face and with their consent) Get a couple of opinions. Some places require a consultation fee. At our clinic we always applied the consultation fee towards any work done. We saw the best success with sclerotherapy (we used polidochanol-a soap based solution) in combination with lasers. We used different lasers for different sizes and depths of veins.
If you are going to have something done do it before the really warm weather. Most places want you to wear compression hose for a week or two post treatment. Lasers are also contraindicated on tanned skin. It can hypopigment the skin causing white areas. I had to wait a couple of days before working out. I just did upper body those days. And, it always looks really bad at first, then as it heals looks better.
Good luck!
Lynn