Probably the easiest way to do this, with no extra work, is to just lasso all Clips (with the Cursor) and they will be "linked" as Selected. Then, you can move them all as one. It takes one click-drag to lasso, and then click-move.
PS - hint: to see the entire Timeline, hit the \ (Backslash key).
Hunt thank you so much.
You are most welcome. There are a couple of other possible ways to handle what you want, but I chose the method that works 100% of the time for me and is the easiest, with the fewest potential "gottchas."