prime lenses generally have 0 or very little distortion in comparison to a zoom lens, because the glass is designed for just one focal length the IQ is generally higher than a zoom, you should find very little vignetting and corner to corner sharpness is improved (extension to what DH said).
using a fixed focal length lens is a great place to start too as it gets you moving around a subject looking at it, instead of simple zooming in or out of a subject.