you'll probably want to follow a full guide for this... but do you have space in your VG? the vgs command should show that.
The gist of the commands to create it is here:
https://www.centos.org/docs/5/html/C...LV_create.html
admittedly that is for CentOS 5 but the commands should be the same.
Once you have your LVM, add it to /etc/fstab (careful on editing that file, breaking it will cause headaches, advise doing a 'cp /etc/fstab /etc/fstab.bak' first).
Manually mount the partition:
mkdir /mnt/newhome
mount /dev/mapper/lvm-dev /mnt/newhome
mv /home/* /mnt/newhome
umount /mnt/newhome
mount /home
rmdir /mnt/newhome
Should do it... I'd advise testing it all on test boxes first cas a few things here (esp fstab), can cause major issues down the line if you do em wrong.