In the Linux world, "non free" means "not open source" - and not that it costs money. (Well, it can also mean that, but in this case it means that it contains closed source software - like binary blobs for drivers.)
And, unless you need to, don't worry about making multiple partitions. Those days are pretty much long gone and folks just use a single partition these days (usually, there are some who still manually partition for things like ~/).
Finally, it's paid. Payed is a word, but really only applies when you're talking about rope.
"I paid my bill."
"I payed out the safety rope for Bill while he learned to abseil.)
