It’s important to handle fresh chilies and even some dried chilies with care.  When you are cutting them, the spicy flavor is transferred to your fingers and can be a problem if hours later you rub your eye.  Most of the spiciness of chilies is found in the seeds and the interior membrane.  If you want to ensure absolute protection, using latex gloves or something similar when cutting chilies is a good practice.  Other less protective measures include using a spoon to scoop out the seeds and membrane inside the chile so you don’t touch it with your fingers too much. Also be sure to wash your hands with soap and water, scrubbing well following cutting up a chili.  And use caution when touching delicate areas of the body following handling a chile pepper.