Having taken the engine out of both of mine to place the good engine into the good body (I'm scrapping the older one) 03 plate into 53 plate. I removed both from underneath. One in my garage the other on my drive.
I used an RSJ I had lying around and a couple of wooden blocks to protect the car. Placing the wooden blocks on top of the RSJ, I then jacked each side of the car under the RSJ and placed breeze blocks (I would have used concrete block but they are expensive).
The next bit is from experience.
Yes remove both wheel arch plastic, take the bonnet, bumper and intercooler. I also removed the radiator and disconnected the air con pipes from rad and to the compressor pump on the engine. (it wasn't pressurized and wasn't working anyway) You might get away without doing removing that bit but it does mean that after removing the mickey mouse thin metal member the rad sits on you get much more clearance to slide the engine out the front without lifting the engine to ridiculous heights.
I removed the Subframe first completely the second time I did it after unbolting both shafts, unbolting the tie rods, shocks at the bottom steering track rod ends (I replaced mine anyway) and lifted the hub off the bottom control arm. So much more room. You can tie the Hub and shaft to the Shock so you dont have to bleed brakes but I removed mine. DONT forget to undo the steering pinch bolt inside the drivers footwell after removing the plastic footwell consol (big one piece).
I hope you have an 18mm impact socket and a long brake bar because thats what held me up two bolts on the subframe connecting to the body.
Undo all the engine mounts for engine while suspending the engine an gearbox, I used more the one sling to spread the load.
Before dropping disconnect as many electrical connections as possible, but you should have plenty of room round the back if you have removed the subframe.
I lowered mine bit by bit (I also placed a piece of pvc tape on each electrical connection as I removed them and wrot its description on) you can mix SOME up as they are exactly the same on the ends, especially the yellow ended two pin ones with green band seal!
I dropped the engine onto a dolly and slid it out the front.
Regards Tim