A technique controls movement of a logical unit of storage (LUN) among computerized storage. The technique involves selecting, by processing circuitry, a set of target storage locations of the computerized storage. The technique further involves performing, by the processing circuitry, performance evaluation operations on each target storage location of the selected set of target storage locations. The performance evaluation operations performed on each target storage location electronically assess a performance outcome of moving a production LUN from a source storage location of the computerized storage to that target storage location. The technique further involves moving, by the processing circuitry, the production LUN from the source storage location to a particular target storage location of the selected set of target storage locations based on a set of electronic performance assessments resulting from the performance evaluation operations performed on each target storage location.