[chmod]

Linux isn't great for gaming (although support is rising)

Since you will mostly be using the system for daily tasks I wouldn't recommend a pen testing distribution (the term for 'version') as they are not really suited for this or Linux beginners in general IMO.

Finally as for recommendations, there's a few I'll suggest and as Linux can be booted from DVD/USB you should try all of them:

Linux Mint
Ubuntu (or variants thereof)

Slightly more advanced but still viable would be:
Debian
Fedora (My distro of choice)