My breasts are pretty small though. How can I overcome this fear of embarrassment?

Relationships. Ask yourself, do you hope people relate to you as a person, or as something presumably female with small breasts? Anyone worth spending quality time with should fall into the first category. Also, partners, either male or female may actually prefer small breasts, if your issue is how sexually attractive you are. Not every female out there has to have an hourglass figure with enormous mammaria.
BE COMFORTABLE IN. Your own skin! I'm sure beauty comes from within. Push comes to shove, save some money and have augmentation. It is all about you being happy with yourself first!