Common Tools -- Trivial to use
Just to address the elephant in the room. There are some basic things everyone expects. Lets see them in action.
Trim
Go to the the start frame, press hotkey B (Blade). Then delete the clip before the mouse. Do the same at the end. To be as accurate as possible, zoom in the timeline.
Crop
Select the item in the video pane. Go to 'Crop' mode. Then adjust as needed. Move back to 'Transform' mode. You're done!
Zoom
In the video pane, go to zoom mode. Select your item, and drag from the edges. Now move back to 'Transform' mode. That's it!
Basic animations
To animate something, you need to have a start point and an end point. In the video pane: set a keyframe where you want the animation to start. Go where you want the animation to end. Move and/or zoom your object. That's it!
Bonus: Fade In/Fade Out
Select any item in the timeline. Hover it. You'll see two triangles at the top - drag each of them. Congrats, you're done!