What does it feel like to make a choice?

People talk about free will a lot and how it feels like they can make their own decisions and how can that be with what we know about physics. I think the first premise is wrong. It doesn't feel like we can make our own decisions. Its easy to tell this, just try to think of what it feels like to make a choice. You don't know do you? You can't even figure out when the choice is being made. After it happens you think you made a choice but at the time its just what you did. This is much closer to reality then the myth that we feel like we can make choices.