I've done the subframe removal/installation both ways (all in one piece and separately) and I've found it's just easier to manage the different parts on their own.
The only pain in the butt with doing it separately is removing the CVs from the diff and being careful to pop them out without tearing the seal, but apart from that, it's not really that hard.
If you do decide to do it in one go, I'd get the car to a manageable height off the ground then put a trolley jack under the diff and something to support the trailing arms so they don't flop around when you undo the bolts holding them to the body, then just gradually lower the whole lot down. Then you gotta repeat the whole process in reverse when re-installing them.
You'll need to separate the bits anyway to press out the old bushes and press the new ones in anyway won't you?