Absolutely clean area, vaccumed, mopped, air fans and ducts closed shut plus a couple of large surface humidifier put up close to your working area. Make sure the windows are super clean and that your vinyl and backer are dust free. Cover the floor if need be. make sure your clothes are dust and dirt free. Wear something to cover your hair and beard (nets, hats...). Cordon off the area. Then you are good to go.
Even with all those precautions you may and probably will end up with a hair or dust particle somewhere, somehow...
Before quoting on an etched glass job, I always tell the customer that the true perfection of real etched glass comes with a high financial cost and that the cheaper vinyl workaround come with the cost of it being not as totally perfect even though every reasonable actions are taken (as above). From there, it's their choice...