I set up a new list and saw that I could add sections. That done, I wanted to move some of my bookmarked items into the appropriate section. I cannot find a way to do this? Is it possible or should I just delete my sections?

I've solved my problem! When you hover on a section or link, a blue line appears on the LEFT hand side. By clicking and dragging that blue indicator, you can rearrange both links and sections.

The right hand side indicators of "Top" "Bottom" "Up" and "Down" have no effect when it comes to sections. They do, however, seem to work when dealing with bookmarks or links.