Attaching dimensions to objects

I’d like to be able to dimension and object and later move it. When I do however, the dimensions remain. How does one make them a part of the object? Must I group dimensions to objects to achieve this? It would be better I think if dimensions simply attached themselves to the measured object automatically.

Hi James - dims made with History recording active should stay attached if they are snapped to the object (End points for instance) or used with the Object option.