I use the vinyl ones myself. They're cheaper than nitrile, but not as groovy looking. They are quite durable and tactile. Whichever way you go, find ones that fit well. If they're too loose, you can't grab small parts; if they're too tight you may as well rubber band your fingers together. I can't wear the "one size fit's most". I have to get a true large or X-large. That makes it harder to find unless I order them. All brands are basically the same. Find the least expensive.
You should wear some sort of glove when you're working with degreasers. You're right on about that being a reason for your dry hands.