Tor is easy to install, just:
1) download the correct version depending on whether you have 32bit or 64bit system.https://www.torproject.org/download/download-easy.html.en
2) Once downloaded place the tor-browser-gnu-linux ...tar.gz into your /home/$USER folder (substitute your login name for $USER)
3) Right click on the tar.gz file and select EXPAND HERE. This will create a Tor Browser folder
4) To use the Tor Browser just go into the Tor Browser folder and double click the Tor Browser icon ...
Later you can make a shortcut for it if you like.
Here's a guide but I wouldn't use the Ubuntu repository method ... use the download from Tor method.http://namhuy.net/979/how-to-install-tor-browser-bundle-on-linux.html
In other words you don't really install it, you just download and use it.
As for learning Linux ... not to worry, you'll pick it up in no time. (I think you probably know quite a bit about linux, all you need to do is get familiar with Mint's way of doing things ... and that's relatively easy).
That's the beauty of Mint today, it works right out of the box without much of any command line use (unless that's what you want to use).
There are usually a number of ways to do things in Linux including the GUI (Graphical User Interface).
This forum is the best, never had a problem that went unresolved here ... and by reading about problems and answers or asking questions you'll have a very happy system and learn a lot too.
As for "the best distro ever" ... Mint 15 is certainly one of them, it all depends on your taste.
As a newbie, I'm not sure I would choose XFCE but it all depends on what you are used to or like.
I would recommend trying KDE, Mate and Cinnamon versions as well then decide what suites you best.
My preference is LMDE but that's because i've distro hopped for a number of years and love Debian (and it's "rolling release") ... but love LMDE even more.