My partner was the same. He wasnt sure about it in public and to be honest neither was I.

Then our baby girl arrived.

When she was hungry, I fed her. I didnt care who was looking and DP didnt seem to either (We had a few awkward moments when OTHER people were uncomfortable and DP didnt know what to do though) I think it realy depends on where you are when baby is demanding that feed you know? Some places are fine, and others you may need to find a more appropriate spot you know?

I fed DD in a pub, while a bunch of guys watched a football game. I think she was about one month old? I also would take her off into a quiet space though, once she got older and would pull off the boob to look around... leaving my boobs out in the air for way more time than was comfortable