How To Move Linux Partitions To A Single Partition
 

Post output of

Don't use Windows to create Linux partitions. Leave the space unallocated, and Kali should create whatever partitions it needs during install.
From an Arch terminal enter this (as root/sudo) and post all the output

***UPDATED***

I didn't know how much of a difference it would make but I removed the 30GB of unallocated space that I created from my C:\ right before this thread was started just in case.. It shouldn't make much of a difference but here is the updated screenshot of how it originally was.

***UPDATED***

I didn't know how much of a difference it would make but I removed the 30GB of unallocated space that I created from my C:\ right before this thread was started just in case.. It shouldn't make much of a difference but here is the updated screenshot of how it originally was.

Sorry for the hassel everyone..

I would resize sda2 if it's not full
It looks like you have some free space between sda2 & sda3
I would also boot to gpated-live cd/usb
Move sda3 to the left
Grow sda4 to the left
Move sda5 to the left
Move sda6 to the left
Use unallocated space for new install

You have 32.4G free space between sda2 & sda3 move it to the other side of sda6

Do not touch extended partition! It will remove your swap and home partitions!
Extended patition was created when you installed Arch.

The OP can move the partition & if they wanted to can delete but would have to edit fstab to reflect the change.
Which would make sda6 sda5

Yes, he can move extended partition. When I wrote "do not touch" I meant "do not delete" it, because OP wrote:
Removing extended partition will remove sda5 & sda6 and you can't restore them simply by editing fstab.

My apologies I misread your post or should I say didn't read into it enough & made a statement too hastily.

After you have copied, as root, your whole /home/<username>, [all your data, including .(dot) files], from your present /home directory into your (sda3) / as something like /tmp-home, alter your /etc/fstab on /dev/sda3 so that it no longer points to /dev/sda6, copy all of /tmp-home to your /home directory, rename it /home/<username>, run chown -R <user>:<group> /home/<username>, then reboot. Everything should be working as normal.

You can now use sda6 to install to, (your present swap partition will be used by your new installation as well as your original distro).

Your sda4 partition holds the info about your extended partitions.

If you move sda3 to the left, your location for boot files will also be moved so the Grub code in the mbr will not be able to find its files, they won't be in the specified location so I expect you will need to chroot into Arch and reinstall Grub.

Is there any reason why you did not use GPT partitioning with this system? If you had, you could simply have shrunk sda2 and created another primary partition there for your install.

Patitioning schema was messed from the very beginning so it isn't a good idea to keep things like they exists now. Yes home content migth be moved to root partition, but there might be no enough free space to fit home files.
I noticed the OP removed free space before sda3 (but where this free space gone?) and I think partitions completely messed. And now its a good reason to bring everything in order
I would suggest the following:
1. Backup Arch root & home filesystems
2. Remove all the partitions except sda1 and sda2
3. Create extended partition for all the rest free space
4. Create 3 partitions inside the extended one so they would be populated with two linux systems plus swap. Do not separate home from root.
5. Move Arch backup to his partition and restore bootloader to get Arch bootable. I would rather reinstall Arch at all.
6. Install Kali at his partition and add it to boot menu.

And do not use Windows for any partitioning/deleting/moving operations. Do it from Linux liveCD/USB

When you say move each sda (3-6) to the left what do you mean? How do you go about doing that? The only programs I see installed that have anything to do with viewing and possibly configuring my partitions is either the program called Disks, Disk Usage Analyzer or KDisks free.. I'm terrible with working with partitions especially on Linux..