Not better than doing yourself today in general, but it will be in more and more situations. https://www.youtube.com/watch?v=fpoXr_z_6a4 is illustrative of the current level of ability. A good example where the self-driving compares favorably with poor human driving is at 10:15 in the video.
There are some pretty major gaps (for example, limited ability to reverse and read signs), but I wouldn't bet on them not being resolved in the next five years.