What are the differences between לימוד and חינוך?
I'll explain it in two aspects:
Simply put, Limud is about knowledge - knowing what's written in the books. Chinuch is about observing and following what's written in those books.
Metaphorically, Limud is about intellect, Chinuch is about being a Mentch.
Kabbalically, Limud is about 3 Rishonot (חב"ד) and Chinuch is about 7 Tachtonot (Midos).