Diagnosing Angry Birds Crash
You can use ADB and run logcat by typing the command adb logcat &gt; logcat.log.  Alternatively you can use an app like aLogcat.  That will give show you your systems logs but then you'll have to figure out what it all means.  

I have to agree with Matthew Reads comment that it's probably related to CM but there are so many moving parts and different factors it's hard to say.  Unfortunately diagnosing through trial and error will require you removing CM to see if it was the cause.  I would recommend removing AdFree and seeing if you still have crashes because it could be caused by that.  If I were an app dev that relied on ads to fund my company I'd probably make the free flow of ads in my app a requirement for my app to run properly.

Also, I doubt it's launcher pro.