It is likely that everyone will have different feelings regarding this topic. I went into breastfeeding knowing that I didn't want it to stop me from going out. At first it was really difficult to not feel self-conscious. I also found it frustrating because my partner was always embarrassed when I was doing it. So not only did I have to worry about other people, I had to defend my actions to him. However the more I did it the easier it got. I also made a point in the beginning of going out with people who supported my decision. I now feel perfectly at ease feeding in public.
Thought this would be of interest to some breastfeeding moms. It's about a woman who was kicked off an airplane recently for breastfeeding her child.