a staff: a length of wood carried in the hand, to walk with, to strike with, or to keep as a token
At bottom this is a stick: a piece of wood a person can close a hand around. Everything in this meaning follows from that plain object, and what changes from verse to verse is only what somebody is doing with it.
The New Testament puts it to work in a few ordinary ways:
- the staff a traveler takes on the road, or an old man leans on
- the stick raised to strike someone in correction
- a stout stick used as the measure of how thick and rigid something else is
- the one particular staff of Aaron, kept as a token after it sprouted
Because a single Greek word covers all of that, English Bibles switch between "staff", "rod", and "stick" to suit the job in view, and the switching can hide the fact that one word is behind them all. The word itself says nothing about size, decoration, or purpose; the sentence around it supplies that. In Revelation 11:1 the measuring instrument John is handed is actually a reed (κάλαμος), and this word only describes how stiff and staff-like that reed was.
Behind the Greek stands a family of Hebrew words for the same object, chiefly the shepherd's and traveler's staff (מַטֶּה) and the rod that both beats and rules (שֵׁבֶט), which the Greek Old Testament regularly renders with this one word. That inheritance is why a New Testament writer can reach for it whether he pictures a shepherd's crook, a traveler's stick, or the staff Moses stretched out over the sea.