Can I partition /home directory in a different drive and still fuction?
Transferring /home directory without reinstalling Linux?
I would say yes and yes.
Best way to partition my / and /home directories?
While I didn’t do it on Fedora with KDE, I did it on Ubuntu GNOME. I can’t imagine the process being much different. You basically just need to set up a partition, mount it on /home and copy the files, after all /home directory is nothing special, it just contains files.
Now my setup involved setting up an encrypted partition and then mapping it via LVM. Your milage may wary, but the process should be rather straigthforward with some google’ing and messing around.