I'll throw in a few thoughts on learning moguls, having watching my kid and many other kids on our ski team (race team basically) learn to ski/progress in bumps when freeskiing, including watching the common obstacles they have trouble overcoming.
1. Go onto youtube, and watch the various basic mogul skiing video's out there. Seeing what is being recommended will help you not only when you go out into the bumps on your own, but you'll get a head start on what your instructor will be trying to convey. The instructor will be able to re-advise you on some tips, but also point out what your doing right/wrong. This will also put video example to the many good tips already given on your post.
2. Ask a friend to video tape you from the bottom looking up. A common thing that occurs is that people just don't always get what they are doingwrong without getting the feedback via video. Seems like this is rarely done by people trying to get better, but invaluable to get you past any plateau's you're running into on the hill.
Video doesn't lie. If you leaning back, hands not forward, failing around, etc, there is no hiding that from video. Many people think they are better skiers in "their mind's eye" that video taping will quickly humble oneself. POV video is slightly helpful, but it will fail to show you things like your body position and often people may "look good" on POV footage, but it doesn't give you the real picture on your skiing form.
3. Consider investing in a ski camp, ie like Mt Hood if you get a chance in the future, taking the camp with family/friends. Yes, the may be teaching "zipperline" competitive mogul skiers, but they also teach just good mogul technique for more intermediates just desiring to improve mogul skills and so one shouldn't be swayed away from the right camp for that goal. Video feedback is done which is often lacking at resort instruction due to obvious limitations/costs to staff someone to take video. We were fortunate to get my son in a few summer camps for which he would take that back and apply those skills on his own (has no mogul specific coaches in our area, we just have good solid race/all around coaches). Those 4-5 days in the summer were what carried forward improvement the next season.
4. Mogul skiing techniques are different for what you goals are, and keep that in mind. In my opinion, I'm not a huge fan of zipperline competitive mogul turns, but as with my son who's starting to compete, you need to learn the technique for the goal/play the game for the judging (ie. competitive vs. "all mountain/steeps/tree moguls").
Competitive mogul techniques will help, but your goal would be considered "meandering" bump skiing not to be confused with zipperline competitive style/form. As someone mentioned, a coach who is too advanced on competitive style may not suit your needs, and there are lots of resort level instructors who can provide the level that is needed for your goal(s).
5. Here's a video I did of my son a couple years ago, shows the type of meandering bump skiing that you want for skiing all around the mountain, including big bumps on steepslopes with carving to control speed, much different than his zipperline type runs where there's more absorption/extension for speed control. I could show you a competitive run, but that wouldn't translate to the form you're likely looking for in your pursuit of skiing everywhere on the mountain. This video in slow motion for some and then full speed with POV. The POV if you can imagine it was you, shows you the "thinking/looking ahead" that is so important in good mogul skiing.
I personally prefer watching this over watching his competitive mogul runs. So much controversy in the world of mogul skiing and you'll see people ripping apart many of the mogul skiing video examples for one reason or another....