I used to be a competitive bump skier years ago, but the technique hasn't changed. Hard to tell exactly from the videos what your regular technique is, but I see a few things you could work on which would provide long term benefits.
First, from the videos, your left pole plant is okay for now, but your right one always ends up with your right hand up around your ear and behind you. I can see the rhythm in the videos, your turns to the right are okay, but your turns to the left have your body all open at the end. You then catch up really well for your next right turn, but open up again going to the left. This opens up your shoulders, making it impossible to get square and absorb the bumps. Try reaching with your pole to plant on the downside of the bump so that you are not planting right on top of it. This keeps your hands low, body stays square, and you can absorb the bumps easier. You may also benefit from poles a couple of inches shorter. (Just go buy a used pair a few inches shorter, they will get bent pretty quickly as you get more aggressive.)
Secondly, and this is the one that takes nerve, get your weight & stance farther forward. It is impossible to absorb the bumps consistently if you are back off of the fall line (weight on your tails). One thing most people do not realize is that if your weight is on the balls of you feet/farther forward , the absorbtion required for each bump is actually less than if you are leaning back. You end up with a smooth run rather than a whole bunch of jarring crashes linked one after another. Work on a more aggressive stance/farther forward in small bumps at first, because it will scare you initially. Work on developing a smooth rhythm; it doesn't have to be fast, just smooth. Once you work on it, you can step up the tempo and/or move into larger bumps.
I used to spend a lot of time working on rhytmn and aggressive stance on steep groomed runs with no moguls. You can be super aggressive in your stance without the risk of getting blown off the top of a mogul at 30 MPH. Use your shorter poles when doing this as it will give you the feeling of being farther forward.
Bob Barnes' comments about absorbing the bumps are spot on. Most people who ski bumps have stiff legs and wait for the shelf of the bump to hit the bottom of their skis. If you are forward on the skis as you should be , you are actually reaching your legs down into the troughs between shelfs, and letting them absorb back to you as you cruise over the shelf of the bump. Think of the shelf as a step on a staircase. Imagine you are skiing down a staircase and looking at it from the side. You want your skis to touch both the step and the riser of the staircase; this cannot be done if your stance is leaning back and you are bouncing off of each stair because you are not absorbing.
What else??? Oh yeah, take these steps slowly. You are doing okay, but to become a good bump skier takes time and a lot of work on small bumps and groomed steeps.... you should spend time watching good bump skiers, watch their pole plants, their extension, their forward stances. And most of all, watch their rhythm, they build their runs from the top of the line, letting their rhythmn build as they accelerate.
Sorry for spelling Rhythmn wrong 15 times on this thread, just one of those words that doesn't look correct when typed today.