Time for action – hiding the vertices you aren't working on
One of the keys to working with a complex object is hiding the vertices that you don't want to work with. In this way, it makes things simpler visually, and you don't select the wrong vertices by accident:
Press A to deselect all the vertices.
Select some of the vertices using whatever commands you want.
Press H.
Select some more vertices.
Press G, then X, and move the cursor to move your selected vertices in X.
Press Alt + H. If nothing happens, open Mesh on the header, scroll up the menu to Show Hide, and then choose Show Hidden.
Press Shift + H.
Press Alt + H.
What just happened?
You selected some of the vertices. Then, you hid the selected vertices by pressing the H key. You selected more vertices and moved them. Then, you showed the hidden vertices with the Alt + H command.
Despite the fact that the vertices had been selected prior to being hidden, they were not affected when you selected other vertices and moved them. Blender does...