In the old days, guys called you a wimp if you wore gloves when you worked on cars. Aside from the wimp factor, gloves were too clumsy for fine work. But we now know that some automotive fluids contain caustic or even carcinogenic chemicals. That's why most auto techs now wear nitrile gloves, as should you.
Nitrile is a durable synthetic material that protects your skin from the chemicals. The gloves are available at auto parts stores and online for about $7.50 for a box of 100. That's 15¢ a pair—a small price to pay to protect your health.