If you can separate them and pull the engine by itself it's easier getting the engine over the bodywork.
OR...
Disconnecting the trans from the engine is easier after it's out, instead of having the car on jack stands and working on your back while dropping crud in your eyes.
My trans needed work too so I pulled them together. I preferred not having to wrestle with the trans where it's harder to get at.
It can be done either way. Having helpers is a very good thing.
The engine will be a fair ways up in the air and to avoid swinging that much weight around I placed the hoist and didn't move it, but rolled the car backward out from under the engine as it came up.