Turn on ripple edit. Make sure the most aggressive version (the bottom of the three) is selected. Then, take the left-most event on all of your timelines, and move it to the right.
You can also use the "insert time" function on the insert menu.
Insert time works great - moves markers and everything. Come to think of it, is there a function that removes time, and scoots everything (markers and all) to the left?