Caustic soda is a good thing to have around when working with HF. Any base, and caustic soda is an inexpensive one, will neutralize HF into a neutralized fluoride. I would often wipe down the general area where HF was used with 1 N NaOH before wiping it down with water, just in case. I would then tell people, "There, I've spread around caustic, so everyone is safe. Heh. Funny definition of 'safe'" But I did convert a flesh eating, bone dissolving, systemic toxin into a corrosive, skin irritating, systemic toxin. So that's some sort of a win.
It would be preferable to work in a fume hood. Most of the area enclosed, except your hands and arms, with strong ventilation to outside the building. Gloves are required. We used double gloves, and peeled off the outer pair when done. Disposable sleeve covers are also available. A lab coat, or waterproof apron are a better choice than an absorbent sweat shirt.
To protect exposed skin, the solution is washing, and a calcium gluconate gel. That's a permeable calcium rich gel, so the HF reacts with it, instead of the body's own calcium reserves.