bwbalint
Make a back up copy of your entire project!
Why ? Ripple editing is in the clip board and totally reversible.
Anyway, To the OP:
what I do is turn on Ripple editing and then use the cut/paste command.
You can also:
If its in the middle of your project, cut all the track you want moved (split) using the Split function "S".
Turn on Ripple editing for all tracks. Lasso the right portion of your clips and drag then as far out as you need.
Double check your automation. its totally reversible if it doesn't work. No need to make any back ups of your project.
I've used Ripple editing many times now and not once had a problem with it.