The mouse keys constrain transforms differently in the 3D and 2D modeling views:
Use Preferences > Selection Options to set up the mouse buttons for selection.
There are 4 options, but only 3 mouse buttons. Most users keep the left and right buttons unchanged from the default, and then make a choice over the behavior of the middle button. Experiment with the two options and choose the one that works best for you.
Use the CTRL + Arrow Keys to step from one selected CV, Hull, or Edit Point to the next.
Particularly useful for stepping through CVs to check if there is any unwanted 'zig-zagging'.
In practice, most users just experiment with the arrow keys until they find the right direction.
Using Shift + Up Arrow Key moves up one level in the SBD hierarchy and selects the whole surface.
Using Shift + Down Arrow Key goes back down the hierarchy to the first CV on the object (U=0, V=0).
The SBD has been superceded by the Object Lister for all practical purposes, but it is still useful to illustrate the structure of the object hierarchy in this example: