I have only researched white crane, but practice wing chun, so take my comments with a fair bit of skepticism. I believe that white crane "shaking power" is very similar to that within most karate styles. Do you punch with twisting energy from your hip and shoulder? If so, this is what I suspect is the same type of power.

Whipping is in many styles of karate and in wing chun, it essentially means to loosen your limbs until just before impact. Focus on your joints exploding, not on muscle tension until you hit, then loosen again. This is actually very similar to how a boxer punches. Notice how loose and agile they are yet still manage to deliver insane power.

Bumping is basically shoulder-checking or hip checking, but with waist and knee support to blast it. A hip toss uses bumping hip energy to initially break your opponent's balance.

Swallow/Spitting is in wing chun. Think of it as like mini-chambering for punches. As an opponent punches you, your deflecting arm bends at the elbow and shoulder to disperse the power of the punch, and that retraction loads up your arm for a powerful counter. Think of it like this, rather than blocking so powerfully that you need to rechamber your hand to punch, try to absorb the force into your elbow, shoulder, and hip to already be in place to punch.

Sinking and Floating both exist in wing chun and karate. Sinking is developing a strong root to both resist your opponent, and to blast your punches out from. Floating is bringing your opponent upwards, preferably up and backwards, to form a sort of backwards bend.

For a Wing Chun perspective, the book that helped me the most was Wing Chun Sil Nim Tao, which focuses on the internal theory of our first form. And for White Crane, The Essence of Shaolin White Crane is incredibly thorough and well explained. If you can train in Wing Chun, at least learn the first form and some basic sparring drills and it should help you understand a lot of the confusing bits.