Depends what you mean by personal toolboxes. The toolbox is different to toolbars, which are different to palettes, etc.
In any case, you need to save a Scheme in your Work Environment and export either those schemes individually or a profile of those schemes out to a place on the server or removable media. Then on the other computer import them in.
For more information, look under Options>Work Environment>Work Environment... and reference your Help menu.
Cheers,
Link.