That's how my chest looked when I was about 20. It didn't really bother me then. But, as I gained a little bit of weight it started to bother me more and more.
As a side note, and as a warning, I just had surgery to fix it and I still have puffy nipples over a year later. Surgery is not a guarantee that it will get fixed. All of the gland has been removed, but they are almost as puffy as before.
Consider that before you drop $5K to a doctor. Or, at least discuss with the doctor what the odds of getting rid of them would be, and what type of recourse you would have if the surgery failed to produce that result (for example; will the doc do a revision for free?).
Good luck.