Lots of stuff to work on here. I’m going to assume you mean “power clean critique” instead of “cleans” because when you catch a clean it is supposed to be near the bottom of an ATG front squat.
Your start position is off. Your shoulders are behind the bar. Look at both reps, but especially the 2nd rep. At the knees, the shoulders need to be in front of the bar, RDL like (but less so, since it is not an RDL or SLDL), or over the top of the bar. The fact that your shoulders are behind the bar means you are not getting any hip power into the bar, you are in poor position to explode, you are using quads only and although you try to get your hips into it they aren’t transferring any power. It also means your attempt to explode will push the bar away from you in a pendulum manner, leading to your problems jumping forward and catching the bar.
You are sliding your knees forward, which lessens the ability of the hamstrings to do their work and shifts everything to the quads. It also makes the shoulders slide backwards behind the bar.
As said before you start your version of the explosion waaay too soon. Final explosion needs to happen about the TOP 1/3rd of the thigh, not the knees or bottom third. With your shoulders over the bar. Not behind. First and foremost–it is not a “push” it is an explosion, a punch, a very fast pop. A push is slow.
LIke this guy. second time through is slow motion so you can freeze it and see: http://www.youtube.com/watch?v=eYeKxTfVbx0
Or this guy. Again slow motion, but from front. http://www.youtube.com/watch?v=QPO0LuDxXUE
Those are both from the ground, but everything above the knee is worth paying attention to.
If anybody sees something I should change or missed in what I said, say so please.