Oh, it was that simple?
Tried it and it worked just like you said. It's downloading now. Thank you so much!
Got to say that's a bit of baffling gui design. One would think a link to install Creative Cloud would be one of the main things needed for the account page on the website. Not only did I have to do something I didn't want to do (get the trial), but after installing the manager, it immediately started downloading and installing photoshop. I really hope it's not installing the trial version. I guess I'll have to wait and see.
Regardless, that solves this question. Again, thanks for the quick help. Have a nice day!
/Alex