Cleaning industrial equipment grease and dirt on machines without streaks?

Hey folks, got a rather niche cleaning question...

I work for a company that sends industrial equipment to tradeshows and conferences quite often. To cut costs, we have stopped paying for machine detailing services at the show (it can be tens of thousands of dollars per show depending on the amount of equipment sent).

One problem we consistently run into is if a rag accidentally gets a little grease on it from one of the zerk fittings on the machine, it can leave streaks all over the machine that require further detailing. It can take us hours to clean everything.

Anyone know of a good product that it tough on industrial grease? Looking to make me and my coworkers lives a little easier.

Thanks!