Honestly most of the fear should disappear when you actually get bit because then you'll realize that the bites are nothing but a quick pinch. I still do get startled when they move quickly though, but I've learned their movements so I can pretty much tell who is going to strike and who isn't as soon as I open up the tubs.
Now if wearing gloves is what makes you comfortable then by means. Eventually I'm sure you'll get over that fear factor. Another way to avoid getting bit is to grab them either from behind or the side. If they're snappy, trying to grab them head on is a great way to get bit. But I promise it's nothing. It's more blood than anything.