safe pair of hands
Synonym discussion
Sense: idiom/1
All four describe someone worth trusting, but they differ in tone and context. 'Reliable person' is the most general and informal — you might call a friend who always shows up on time a reliable person. 'Dependable figure' sounds more institutional, often used for public officials or managers in formal reports. 'Steady hand' is the closest to 'safe pair of hands' in its calm-leadership metaphor; both imply composure during difficulty. 'Trustworthy person' emphasises honesty and integrity rather than competence. For example: a CEO hired to rescue a failing company would be called a safe pair of hands or a steady hand, not simply a trustworthy person.
Etymology
The expression comes from British sports — especially football (soccer) and rugby — where a player who can reliably catch and hold onto the ball is said to have 'safe hands'. By the late 20th century, it had moved into political and business language to describe a leader or manager who can be trusted with responsibility without dropping anything important.