move all files of current directory into subdirectory and maintain history

Question

How can I move all the files of my current directory into a new directory and retain the history.

I have tried:

git mv . old_app

But I

Answer 1

I want to move all png files to images subdirectory in the local and remote repo:

mkdir images
git add *.png
git mv  *.png ./images
git commit -m "move"
git push -u origin master