Adding a new HDD to an existing /home partition

So I have been using Fedora 22 for a while, and I'm pleased with the tweaks I made here. I moved my personal files to my HDD but it may not be enough in a while. I'd like to add another HDD to my /home partition. I read somewhere that the way of doing it is using LVM, but I didn't install it like that.

Setup:
SDA: Samsung SSD (250gb)

/sda1 fat16 /bootEFI 200mb
/sda2 ext4 /boot 500mb
/sda3 swap 8000mb
/sda4 ext4 / 50 gb

SDB: Toshiba 1TB HDD
/sdb1 ntfs windows documents partition --> need formatting, I already took the files I needed from that

SDC: WD 500gb HDD
/sdc1 ext4 /home

I'd like to have both SDB and SDC disks "merge" into a big volume for my /home. Is this possible or I need to reinstall from scratch?

I would back it up and then restore to LVM.