If I simply copy my c drive to my external drive, then install the new drive and copy it back to the new drive is it job done?
No. For one thing, if you do it this way, what will your PC boot with when it's original hard drive has been ripped out?
You should be able to install the 2 drives side by side. Should be pretty simple, assuming you have the right cables. Then you can either use the new disc as a data drive (for porn, etc), or you can
clone your old hard disc to it. This is not a straight copy - if you just do a windows file copy it won't make the disc bootable. Google "free disc clone" and there should be a few pieces of software out there to do it. You can then rip the old one out (or use it as a backup drive, or whatever).