I tried the method used in this video and it drove me crazy. What I do is shut power off off at the breaker, get the kick plate off, disconnect the drain pump (LOTS of water will get on the floor, be ready with your mini-vac), unscrew the OWI, and disconnect the motor. Once all that is out of the way, I can get my hand around the back of the machine and pull the first restraining tab about, then the other two follow much more easily. I can then pop the assembly out the bottom of the unit without ever moving the unit out from under the cabinet.
Installation of new assembly follows the reverse, and I always start with the back clip. This method means I don't have to risk scratching floors, or having to re-level the unit, or taking the time to disconnect the water.