Complex renaming then moving files

Shell Programming and Scripting
1

I am a biologist and using an program on a computer cluster that generates a lot of data. The program creates a directory named

ExperimentX (where X is a number) that contains files "out.pdb" and "log.txt". I would like to create a script that renames the out.pdb file to out_ExperimentX.pdb (or something to differentiate it from all the other out files) and then moves the new out files to a new, common directory.

Can anyone help with me a script? I am kind of paralyzed without being able to rename and then move these files en mass because there are about 1 million directories with out files.

Thanks...

2 
My_folder$ ls -1
common
Experiment11
Experiment12

Experiment11 and Experiment12 each have out.pdb

for x in `ls -d Experiment*`; do mv ./$x/out.pdb ./common/out_$x.pdb; done

My_folder$ ls common
common:
out_Experiment11.pdb out_Experiment12.pdb