TL;DR: I wrote a piece of software called Tor Browser Launcher that downloads and auto-updates Tor Browser Bundle for you, in your language and for your architecture, and verifies signatures. I’d like help finding bugs before the initial release.
Over the years, Tor Project has done an amazing job at making Tor more user-friendly. In the past if you wanted anonymity you had to download and install Tor, maybe hand-edit your torrc file, and configure your browser to use a proxy server. You had to make sure that you didn’t have browser plugins like Flash or Java enabled that would compromise your anonymity. Eventually, this got easier when you could install the TorButton Firefox add-on, but even then you had to keep manually separate your own identity and your anonymous browsing.
Now all you have to do is head to torproject.org, click the large “Download Tor” button, and then download the Tor Browser Bundle (TBB). Then you extract it (normally to somewhere in your home directory, or to a USB stick) and run start-tor-browser, and wait to connect to the Tor network and for your anonymous browser to pop up with the friendly green “Congratulations. Your browser is configured to use Tor.” page.