There is a fragile rubber gasket between the silver front bezel and black display assembly. Keep your tool as close to the silver front bezel as possible to prevent damaging the gasket.
We recommend a metal spudger for this task, but an X-acto knife should also work, just be careful not to slip.
Insert a metal spudger into the seam between the silver front bezel and the black display assembly on the edge closest to the home button. Gently pry the display assembly up from its bezel.
If necessary, insert the metal spudger in the same manner on the side of the iPhone and continue to pry up gently. Stop using the metal spudger once the display assembly is up enough that you can lift it up with your fingers.