iOS 4.3 Jailbreak and differences between 4.3's

Hello, I am trying to jailbreak my iphone 4 running ios 4.3. I am fine with a tethered jailbreak, and am fine running more complected steps. However, I'm not sure what is the correct version for me to try.
It appears that there is multiple versions of iOS 4.3, such as iOS 4.3 beta, and iOS 4.3 GM. What is the difference between these versions? I only updated my phone through iTunes. Also, which would be the correct jailbreak for me to use? When I look at my iPhone info it says "Version 4.3 (8F190)" If you could point me in the right direction it would be much appreciated

Thanks for your help!