Yukizure is the first waza of the Okuden Tachi waza set of the MJER Curriculum...
The Bunkai of Yukizure is that you are being escorted ("escorted" is the literal meaning of "Yukizure") to a place you don't really want to go by two guys you don't really like. They may not be really bright, because they have left you with your sword.
One of them is on your right, the other one on your left.
While walking with them, you take a smaller step to be behind them, bump onto your left escort from behind, draw and cut the right escort's neck or left shoulder. This cut is one handed, it is Nukitsuke. Immediately follow up by cutting the other escort with a two handed kirioroshi.
In this video taped on February 1st, 2014, at the Shindai Aikikai of Orlando, FL, Carl Long Kyoshi demonstrates the Bunkai of Yukizure.
If you are interested in learning Traditional Japanese Swordsmanship, the KNBK website provides valuable information about various aspects of the Art, as well as addresses of schools (dojo) licensed to teach Iaijutu in the USA and other countries.