Create an Export Items template that only exports the Item Number and Most Recent Cost. Either CSV or Excel formats are OK. Also create an Import Items template that only imports the Item Number and Standard Cost. Set this import template to read the same file from the other Export, and also set to 'Overwrite records' but not 'Add new records'.
Every time you want to 'move' the values of the Most Recent Cost into the Standard Cost box, simply run the Export to create the file, then run the Import to do the updating. This can be done as often as desired, though you wouldn't want anyone in your Inventory or OrderEntry data will doing this.
The same process can be accomplished with Alternate Price List codes, but you'd have to include the Price List field as part of the export and import templates.
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Regards,
Softrak Tech Support