Apes & Human Evolution

Humans and apes share a common ancestor. We are both in the order Primates, superfamily Hominoidea, family Hominidae.
What traits do we humans have that allow us to be classified with Primates? What traits set us apart?

Brain size, teeth, and locomotion (bipedalism) have been used to differentiate species of hominin fossils that have been found. On page 199, Coyne tells us that "bipedal walking was one of the first evolutionary innovations to distinguish us from other apes", and on page 202 that "our upright posture evolved long before our big brain".

Theorize about the order in which our bipedalism, big brains, and teeth evolved. Include why each trait would have been and important advantage and why it came before and after other traits. Include other hominin species and their advantages (for example, we know that H. erectus could use tools and control fire, and had a brain size "nearly equal to that of modern humans" (Coyne 205)).

Also consider the further evolution of humans. Are we done evolving? Are we just too good at fighting disease and other things that would wipe out those without selective advantages? Or are we part of a continuous arc of evolution that will keep producing humans better suited for life on Earth?