Excellent K and P endgame lesson

8/1p6/p1k1p3/2P2pp1/1PK3P1/P3P3/8/8 w - - 0 0

This endgame brilliancy was sent in by young Eve Zhurbinskiy. She is White and Samuel Chatsky is Black.

It is White to move. How do you assess the position? How should White proceed? This is a very good endgame to study from.