Turn Auto Keying on and off. Click the little key icon to the right of the timeline. Red is on, black is off.
Move a Range of Keys. Shift + Left-click-drag a range of frames. They will turn red! Move the inner arrows to move that entire range of keys in the timeline.
Scale a Range of Keys. Shift + Left-click-drag a range of frames, as above. Yes, they will turn red! Move the outer arrows to the left to make the animation faster and move them to the right to make the animation slower. This is a very nifty way to quickly modify the timing of your animation. If you don't see the outer arrows, use the Range Slider to increase your playback range until you do! After you've adjusted your timing, if you're working on a cycle, use the handy Range Slider to adjust your playback range to fit your new timing.
Copy a Key. Right Click on a key and choose Copy from the fly-out menu.
Paste a Key. After copying a key, right click the frame into which you'd like to paste your copied keyframe. Choose Paste > Paste from the fly-out menu. Beware not to just click paste and let go. There are two pastes you have to choose. It's Maya, remember.
Change Playback Range. Enter new numbers in the inner set of boxes 'neath the timeline.
Delete a Key. Right-click on a key and choose Delete from the fly-out menu.
Set a Key for All Keyable Attributes. Hit "S".
Key a Particular Attribute. Shift + W (move), Shift + E (rotate), Shift + R (scale).
To do more advanced animation editing, we'll be using The Graph Editor...
Windows>Animation Editors>Graph Editor