Meanings
Usage patterns
〈物〉が手元にあるto have something within reach/at hand
I have a dictionary at hand, so I can look it up right away.
〈人〉の手元を見るto watch someone's hand movements (to learn a skill)
I watched the teacher's hands and learned how to cut it.
手元にお金がないto have no money on hand right now
I don't have any money on hand right now, so I can't pay.
〈物〉の手元が滑るfor the grip/handle of something to slip
The handle of the umbrella got slippery in the rain, which was dangerous.
〈物〉を手元に置くto keep something close at hand
I always keep important documents close at hand.