I'd like for the utility to delete files that I have removed from one machine and not replace it with the old replica on the partner machine

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[url=http://www.softpile.com/Utilities/File_Management/Review_05692_index.html]Advanced Directory Comparison and Synchronization[/url]
It is ideal for keeping files synchronized between a desktop & laptop and is a very fast method of backing up critical directories. With ADCS you can easily see what have changed in your directories and transfer changes with single mouse click.
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This is one of the best synchronizing programs , I have multiple very-large Harddrives with hundred of thousands of pictures, and ADCnS was the best program to see which files was on what drive . and Its very easy to use I give it a perfect-10 and thumbs-up :)