Nobody's perfect - so when you find yourself in that awkward position of having to talk to your new boyfriend about those inverted nipples that bother you so much, take heart. There is a good chance he won't even care. The very first thing you have to remember is that most men don't have nearly as many inhibitions about breasts as women do. The other thing to keep in mind is that what really matters is how you feel about them.
If correcting them through a surgical procedure is in the cards for you, then it is simply a matter of discussing it with your new flame. All you have to do is to sit him down, hold his hand, and tell him you have inverted nipples and you've had them since you were born (or whatever the reason is that you have them). There can be a number of causes of inverted nipples; they can be hereditary, the cause of excessive breastfeeding, a result of shorter than usual milk ducts or even as a result of losing a large amount of weight. Depending on which of these reasons are yours, there will be a corresponding treatment available.
Inverted nipple correction surgery largely depends on the severity of your nipple inversion condition and is the primary way to deal with the mostly physical, sometimes emotional and usually bothersome condition.
If you have the severest form of inverted nipples, then you may have nipple discharge, rashes or other embarrassing symptoms. Discuss these things with your partner since these factors will indeed affect the intimacy between the two of you. Assuming you plan to have corrective surgery, explain the procedure, recovery and time frame for the entire process so that there are no questions unanswered. Undoubtedly, if your new love is a true love then they certainly will not mind. It is a good idea to discuss how they may or may not affect your choice to breastfeed your children, at some point, since breastfeeding may not be possible for some who have inverted nipples. So, once you are ready for children, it may be something worth mentioning.
If you have a less severe form of inverted nipples, also called nipple retraction, then dealing with it is simply a matter of coping until you decide to have it corrected.
The key to handling this sensitive issue with your new partner is keeping an open line of communication, discussing the fact that you have inverted nipples at the first appropriate opportunity and maintaining a light-hearted attitude about it.