This is the start of a bodyweight squat:
And this is the lower position:
Start of the X-Body Mountain Climber:
Movement part of X-Body Mountain Climber:
Tripod Hold (switch hands after 15 seconds):
As for bear crawls, follow this link (and scroll down past the picture of Arnold) to near the bottom of the page and there's a video of how to do these.
www.leanbodyfitness.com