WAKEshine

Here are five patterns for moving a corner to the top.  The target (where you want the corner to go) is marked with a "T" in the diagrams.  Bring the goal corner below the target (indicated in yellow in the diagrams) as shown below (you can rotate the bottom face as much as you like during this phase) and then follow the moves to the right of the picture.

Goal cube directly below target.  Upper face color on front face.
Goal cube to left of target.  Upper face color on left face.
Goal cube directly below target.  Upper face color on right face.
Goal cube to rear of target.  Upper face color on back face.
Goal cube directly below target.  Upper face color on bottom face.

Note that the last case just reorients the cube and does an earlier move.

If a corner is already on the top layer but twisted, or in the wrong position, just bring up a corner from the bottom to replace it.  Then follow one of the moves above.

Congratulations!  You’ve completed Step 1!

Next is Step 2: Solving the Bottom Corner Faces