In my experience, myLibrary scans the internal memory for compatible files. I find it a bit annoying because every pdf that I download, say a restaurant menu, it shows up in myLibrary. I have not tested this with the microSD to see if it will scan that automatically. I have not found a setting of what to include or exclude from scanning for myLibrary.
To move them from the microSD to the TF, open up File Manager and it will put you in the /sdcard/ directory. Go up a few levels to the root (/) by pressing the button to the left. Look for a directory called /Removable/. This directory is where all removable devices will be. You can cut/copy multiple file/folders and move them to the /sdcard/ directory and put them in your directory of choice, even a new directory if you so choose.