How strong must the magnetic field be to attract an magnetic item from 1 meter plus?
To answer that question I believe you would have to know at least the mass, magnetic susceptibility, magnetization, and possibly the magnetic hysterisis of the object you're trying to move. For an approximate answer I believe you would at least need to know what kind of material it is, whether it is "saturated," its volume, and its mass.
A magnetic field of any strength will attract any magnetic object as long as the forces that prevent the object from moving are low enough. On a kitchen table a small magnet may not move a magnetic object 1 meter away but in zero gravity and a vacuum it should slowly pull the object to the magnet.
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