JBrunner has a good point. Make sure you track down the "powder-free" gloves, whether latex or nitrile. You should be able to find them at a drug store, or sometimes colleges with medical programs sell them for students.
I generally prefer latex gloves (I wear them every day at work) over nitrile because I find nitrile can be a little too slippery with wet glassware. I also feel latex provides a little more elasticity for delicate tasks, but that could just be me.
Some gloves have a salt residue on them from manufacture. Wash them once on and dry them with a dust-free cloth if you're really worried about it. I've never found this to be a problem in the darkroom, but when I was working on toners for Xerox it was a known problem---latexes interfering with latexes.