The installer will recommend you the best option during install. (Usually one swap one "/" partition)
My manual choice is this (adjusted to your configuration). I create 4 partitions, one for boot, one swap one for / and one for home.
/dev/sda1 -> /boot (ext3 or ext2) 100MB
/dev/sda2 -> swap (swap) 512 MB (some say that you need 1GB or even 2GB)
/dev/sda3 -> / (ext4 or xfs) 9 GB (it will be enough)
/dev/sda4 -> /home (xfs or ext4) the rest ~ 70 GB
If you set your /home to ext4 you need to lower the reserved space size from 5% to 0%. Don't try btrfs, it is not good enough at the moment.
Try first a live CD and check if everything works (wlan, graphics, Unity 3D, speed) if you feel that it is slow, try Xubuntu, it has less requirements.