Linux is an excellent choice and any self-respecting anarchist should be using it, or dual boot with a partition for linux.
You've currently got Windows and there are only a couple reasons why I would suggest keeping a Windows partition. If you are a gamer you'll need Windows. If you are a student or your job requires that you use highly specific Windows only programs, then you'll need Windows.
If none of those apply to you, I would suggest backing up all of your important files, like documents, images, music, etc. and then installing Linux without keeping any of your old Windows garbage.
As far as Linux distros go, there are plenty to choose from and if you ask ten different Linux users which distro they use you'll likely get about 7 different answers with Ubuntu being the most popular. It is the one I use and I am very happy with it.
You want your system heavy duty on the safety scale. There is a slight learning curve with Linux, but nothing you can't handle. I wasn't a techie at all until I installed Linux. Then I started learning tons.
Read this article to get started. Good luck and feel free to ask any of your questions in the comment section of the article.http://dailyanarchist.com/2012/02/20/full-disk-encryption-for-ubuntu-and-fedora/