Im pretty good at jump roping and I think its great that your picking it up.
I think that your main style of jumping should involve both feet. I either do this by bouncing with both feet together on the balls of the feet or by using a “heel-toe” kind of left-right pattern but you should be using both feet during each bounce.
The other technique you mentioned is great for cardio exercise too, but its not a practical way of jumping for a long time IMO.
Its really about finding whats comfortable for you. Consider which version you can do the fastest verses the longest. Things like that, practice slowing down and speeding up the rope.
Eventually you will learn tricks that require even more effort than regular jumping. Thats when things get really fun.
Check out my video for some ideas.
I wish I could youtube at work.
Can you upload this here if it isn’t a pain in the ass for you?