To go to a safe place; to seek refuge; to flee.
run for the hills
To flee.
take to the hills
To flee or vanish; to run away.
head start
An advantage consisting in starting a competition or task earlier than…
head and shoulders
To a considerable degree.
head to toe
Entirely; completely; over one's full body.
head of steam
A significant amount of energy, vigour or momentum, sufficient to make…