Speaking only about E30's there are two case sizes. The small one, like you have on your car and the big one which is the LSD you bought.
4.45 , 4.27 , 4.10 , 3.91 are in small cases.
3.73 , 3.64 , 3.25 , 3.23 , 3.15 , 2.93 , 2.73 are big cases.
There are some rare 3.91's in big cases. Big case diffs are used on 6cyl (320,323,324,325) and the small ones in 4cyl.
My oppinion would be to keep the 3.73. There isn't such a big difference if you'd stick a 4.10.
And yes, if you now have a small case diff you can fit a big case one plug and play and vice-versa.