All of these answers are simple and good. However, I always like to add an interactive mode to these scripts so that I can find false positives.
if [[ -n $inInteractiveMode ]]
then
echo -e -n "$oldFileName => $newFileName\nDo you want to do this change? [Y/n]: "
read run
[[ -z $run || "$run" == "y" || "$run" == "Y" ]] && mv "$oldFileName" "$newFileName"
fi
Or make interactive mode the default and add a force flag (-f | --force) for automated scripts or if you're feeling daring. And this doesn't slow you down too much: the default response is "yes, I do want to rename" so you can just hit the enter key at each prompt (because of the -z $run test.