Exhaust Removed

Today I spent most of the time working on the car underneath it. Got the exhaust Y pipe, the catalytic converter, and the rest of the exhaust system removed. The only exhaust pieces left are the headers. Those will stay on the engine until after it is removed.

While under the car, I started to contemplate whether or not I should detach the engine from the transmission to remove it. Or, should I remove the engine/transmission as a complete unit. Gotta do some research on that.