Just create your Parent folder in Lightroom, and you can move folders and/or files simply by clicking and dragging, creating new folders as needed. Give some thought to how you want the final "look" to be and take it a step at a time. You create a Parent folder by righ-clicking on the little icon next to the Folders label. You creat a child folder by right-clicking on the name of the parent folder. It's all pretty easy.
This way, your folders and images remain integrated in your catalog.
One thing you may want to do. When you want to move an entire folder, first click on it to open it (show the images) and do a Ctl-A (select all). Then you can drage the folder and drop it on the parent folder and it will all move. If you have a subfolder it may require an extra step. So, if you end up with an "orphan folder" you can just right-click and delete it.
Like I said, doing it this way will prevent you from losing your catalog data for these images, including editing metadata. You don't need to re-import the images, which would lead to a total loss.
Sometimes it may be more efficient to move a whole block of folders/files in your file browser rather than in Lightroom. In that case, when you open Lightroom they can show up "missing". If you right-click on a missing high-level folder and choose to Find the missing file or folder, browse to the folder (don't open it) and choose it and then Lightroom will chug away to re-establish the connection. And, it is pretty smart -- it can hunt the immediate disk area for other missing stuff. Often, just a couple Find operation can turn up tons of stuff.
Now one observation. It's been a few years since I read Kelby's stuff so I don't know if he addressed this, but many of this have catalogs of many thousands of images, and a lot of people have multiple catalogs, and at some point we found it necessary to "spread out" our operations over several disk drives. For example, I try to keep my internal "data" drive with plenty of free space, but I do use it for "local shoots", and so I have a Parent folder called Local Shoots on that drive that fills up with my short-term work. I name my folders and files at import. I do all my short-term processing, keywording, collections, etc, and then I do my priority short term output (Web and any quick printing project).
From there, I'm done with the internal drive use -- I want to get these hundreds of files offloaded, so on my several external drives I have Parent folders of the given year (my folder/file names start with a date). These Year parent folders are in my Lightroom Catalog, so a move operation as above is easy and that is where those shoots will "live" from then on. As I said, they are keyworded and in Collections so they are easy to find in any of several ways. And, once I move tham I also back them up to a dedicated backup drive that is unplugged when not in use.
So, yeah, that differs from the "standard" approach but I found it effective in dealing with a catalog that spans images from a number of years and over several drives and still keeps my internal data drive with a lot of free space.