The shifting doesn't look too egregious to me. The bar seems to be staying in the same spot for the most part.
Some other thoughts:
1) I would recommend not using wrist wraps. At this stage of your training, the deadlift should be improving your grip strength as well. I'd recommend chalk instead if you are having grip problems.
2) You seem to be looking too far ahead. See how far your head is craned up prior to every rep? Look at a point on the ground 15-20 feet in front of you, not straight ahead.