I worked in laboratories for almost 20 years and developed latex sensitivity (and leather). I don't work in a lab now but if I use gloves I make sure I only use latex free gloves. I use latex free band aids, etc ...
If I touch anything with latex/rubber/leather I try to wash my hands or at least rinse with some water. If I touch tires or inner tubes I just splash some water from my water bottle on to my hands.