Are my nipples too big?

If you are a candidate the size of the areola can be surgically reduced. If you are a better candidate for a breast lift, the areola is reduced as part of the surgery. You can also consider adding implants if you want more volume or upper pole fulness. See a board certified plastic surgeon near you to learn more.

The only one that can answer this question is you. Depends how much you are bothered by your areola. They are certainly within limits of normalcy. You should speak with a board-certified plastic surgeon to discuss your options and also the risks, which include ugly scars and enlarging of the diameter over time.

Thank you for the question.  It is important to differentiate concerns regarding nipple size from areola size (the procedures to reduce nipple size are different from procedures performed to reduce areola size).
 Based on your photographs, I think that you may have concerns about your areola size. Areola reduction  involves  circumferentially removing areola  skin  around a smaller areola design. This procedure can be done under local or general anesthesia. It is often  done as part of a breast augmentation/lift,  breast lift or breast reduction  procedure. If the areola are "puffy" (for example, as seen with constricted or tuberous breasts) some breast tissue excision may be helpful.
Patients should be aware that despite best efforts scarring will be visible and potentially abnormal ( possibly thick, raised and/or pigmented).  Some areola  asymmetry may also  be present after surgery.   Their is a small chance that a patient may lose sensation.
As with all plastic surgical procedures, patients must weigh the potential benefits against the potential risks/complications while making decisions.
I hope this helps.