Because of the BSG core event on the 26th, I have created a guide for the core on the wiki. I have attempted to cover all of the basics of the core - I don't have the piloting skill to attempt to cover things like the difference in flying or the differences in weapons, or the other more in-depth concepts. The guide can be found here: http://www.freeallegiance.org/FAW/index.php/BSG_Core_Guide
If you notices something that I've missed, please send it to me and I'll put it up. Feel free to write up stuff on the more in-depth concepts and link them to the main page, or send them to me to put up. And, as always, if you have any suggestions for the core, send them to me as well.