Burpees in CrossFit are a little different than you might be used to. You just have to drop flat on the ground, so your entire body from “knees to nipples” is in contact with the ground. You don’t have to plank, or push up, or anything else. And there are no rules about how you get flat on the ground, just get down there. There are no rules on how you get up either. In fact, a burpee basically means “lie flat on the group, then stand up.”
If you burpee onto or over anything (ex: over the bar, over the rower, onto a plate) you don’t need to clear your hips, because whatever you jump onto or over is considered the ending point of the movement – that jump replaces the need to clear your hips. (That’s why you’ll never see a “raw” burpee in competition, because then there would be debate about whether or not an athlete cleared their hips. If you have to jump onto or over something, then there’s nothing to debate – either you did it or you didn’t.)
Bar Facing Burpees are just that – you burpee facing a bar sitting on the ground, so when you’re flat on the ground, you and the bar form a “T.” After you get up, you jump over the bar moving forward, turn around, and repeat that in the opposite direction (move far enough back from the bar that you don’t crack your head on it, obviously).
Burpees Over the Bar are easier – you can burpee parallel to the bar, and then jump over sideways. It should be clear why this is easier: Bar Facing Burpees force you to clear your hips, while you never have to stand straight up doing Burpees Over the Bar.