I dont have personal experience or preferences, but I can give you some information.

Profiling the edge of quartz tiles can be done with a diamond-coated router bit. This creates an attractive finish to the edge of the tile, which can be rounded or beveled or have any other shape desired. Make sure to wear appropriate safety gear when operating the router. Its also important to have the tiles securely fastened in place so that they do not move during the profiling process.