Hello Kitchsorous....!
"Creative Cloud" is an Adobe branding of their products. Instead of serial version numbers, now they call it Photoshop CC 2015, for example. Adobe went from license/product purchase model to subscription model. That's when CC branding started. What that means is that you pay monthly for your rights to use their products. Right now, "photographer's package" for non-professional is $9.99/month for Photoshop CC and Lightroom CC. For this, you get to use both of the products as long as you keep paying. I *think* a year is the commitment period. You can break out early by paying penalty.
As the name suggests, you have an option of uploading your images to their "cloud" storage. I do not use this feature.
These weren't cheap products when they were using purchase model if you keep updating it to the latest. This way, you always have the latest version. I actually like this scheme.
Did I explain sufficiently?