How does the Bill of Rights bring to life the Enlightenment philosophy expressed within the Declaration of Independence?

In the Declaration of Independence, we are told that all
people have the inalienable rights to life, liberty, and the pursuit of happiness.  But
what do those things mean?  Life is pretty obvious, but what, exactly, are liberty and
the pursuit of happiness?  This is what the Bill of Rights spells
out.

In the Bill of Rights, we are told exactly what
liberties American citizens have that are to be explicitly protected.  We are told that
we have the right to speak freely, to worship as we will, and to be free from
governmental agents arresting us without a good reason (among other rights).  By listing
out these rights, the Bill of Rights is giving a more concrete definition of what our
liberty and our pursuit of happiness (promised by the Declaration)
includes.