Brake fluid is the worst. I got sick after bleeding the front calipers on my hot rod and discovered that I'd splattered brake fluid on the both hood side panels. $1400.00 to have them repainted, let me tell you; I was sick.
Now to be serious. Some people are much more susceptible to the effects of the toxins found in some of the materials we deal with in the garage. If you have sensitive skin or are sensitive to odors then it would not be a bad idea to protect yourself with latex gloves (that is if you're not allergic to latex)
I've known people who could not be around many of the most common things we use, gasoline, oil, lubricants, without a respirator to protect them from the fumes. Take the necessary precautions and read lables if unsure. Be safe, have fun.
Tom