Definitely easier and cleaner to pull the engine and tranny together. Takes a bit of finagling, but its far simpler than separating the bellhousing in the car. Biggest challenge is making sure you know how to remove the ppf bolts, which require being pushed up a little to unlock them. Other than that, you just need a good hoist and a spare pair of hands or two to guide it out. You can remove the AC compressor and PS pump and leave them in the engine bay connected to their hoses. Just zip tie them or bungee to keep them out of the way.
Remove the radiator, airbox, front sway bar, and get all your wiring harness stuff disconnected (takes a little exploring to find it all) and drain the tranny and engine so you don't spill it all over the place when you start tilting it and pulling the driveshaft.