Ryan,
I do KEC and deal with the same slippery floors you just described. I too had a problem with slipping on the greasy floors after cleaning the hoods and then trying to mop. I tried a cheap work shoe from Wal Mart called Tread Safe and eliminated the slipping problems. They dont slip when waliking on grease or degreasers. Cost about $30.00. Works for me and my crews. Hopes this helps someone.
Mike J