LOL.... I wish I could, but I can't seem to find out where I go to download the program. I can see what I have ( CS6), and there is a serial number, but I can't figure out where in the Adobe site you go to download a copy of the software. The only Photoshop I can find is CC. Do you go back to the "Buy" section of the website ?
Yes, there is no need to go through that ProDesignTools process (which does work) for perpetually-licensed software you have legitimately purchased through Adobe. As Curt says, the download links will be in your My Orders section on Adobe's site.
As far as Creative Cloud software, just download the software from the sales pages (e.g., from the [Try] buttons). It will be licensed after it prompts you to log in with your Adobe ID. And make sure you take the time to get all the updates.