2008 GT without LSD, don't know exactly what parts are needed for one.

[Slumpy34]

I have an 08 GT Premium (auto) that doesn't have a limited slip diff. I want to get one but I don't know if I just need a new diff and cover or axles as well (or anything else). I have seen some people say that the limited slip and open diff have different axles or gears and I just am wondering if anyone else has gone through this process and knows all the parts needed. Thanks!