Hello, thanks for your question. I sincerely apologize for such a delayed reply.
The first step to get started would be get a jump rope that you feel is a good fit. You really don’t have to do any research, just jump a few times with several types of ropes until you find one that feels comfortable. I use Sport Authority’s Speed Rope ($12 USD each). Never liked other types.
After that, you really just need to practice. Remember that the thickness of the rope is the minimum height that you need to jump to get over the rope. The way I look at it, any higher than that is “waste.” The less you surpass that minimum, the less work you do, the faster your rotation. The more you surpass that minimum, the harder it is on you, the slower you will jump per minute.
The videos you see on my YouTube channel range from 1-5 years of my jump rope experience (from 2009-2013). You can see how I progress in terms of speed, smoothness, and difficulty. I urge you to look at my videos from 2009 – I’m confident that anyone jump roping 20-30 minutes 3-5 times a week will get to that level in one year.
I would normally be happy to create specific tutorial videos for you, but I’ve had tendinitis for the past year in my right ankle, can’t do any cardio (I’ve gained quite some weight).
Good luck, reach out to me if you have any more questions.