To effectively use Alias, you need to become accustomed to toggling on and off the display of certain elements. This is particularly true of Control Vertices. These points reveal the mathematics of the geometry and are also a powerful method for you to sculpt form.
To pick Control Vertices (CVs), use Pick CV from the palette or from your Marking Menus. The pick behavior is the same as that of picking objects, so you can click to select or marquee select multiple CVs.
When a CV is selected, it shares the same pivot point as the curve that it is a part of. This is useful for scaling the points and rotating. Unlike objects, CVs do not snap to the pivot. If you snap move a CV, the CV itself goes to the target location. This is also true of other points and handles.
Another important pick tool is Pick Nothing. Pick Nothing deselects all objects in the scene. This tool is a momentary function. As an example, if you are in Pick Object and realize you have selected the wrong curves, you can invoke Pick Nothing to deselect; however, you are still in Pick Object mode and can continue selecting, without having to choose that tool again.