While working on vertices, and wanting a bit more precision than I can get with a mouse, I use the transform panel of the properties shelf in the 3D viewport. But to do this, I have to move the mouse over to the panel, make my adjustments with the keyboard, and then mouse back over to the vertices I'm working with. Is there a shortcut or hotkey that could eliminate the mouse moves?
You can also use the keyboard shortcuts combined with the Arrow Keys.
For example: in top view pressing G and the up/down arrow keys will move the selected vertices on the vertical (Y) axis. The left and right arrows will move on the horixontal (X) axis.
On any side view, the up/down arrows will control movement on the Z axis.
You can still use constraints like GX, G Y, GZ to limit the movement to one axis
The precision of your movements will depend on how far you zoom in on the viewport.
For even smaller moves you can press Shift while pressing the arrow keys.
You can type the amount you want to transform the vertices when using G, S and R.
E.g. GX -3 will translate the selection
-3 blender units on the X axis.