set one's shoulder to the wheel

set in stone

To render something permanent, certain, or firm.

set back

To cost money.

set in one's ways

Driven by habit; inclined or determined to continue according to one's…

set off

To leave; to set out; to begin a journey or trip.

set straight

To correct; to make right or true.

set one's cap at

To choose a man as a potential husband (for a girl).