Thanks for the mention Cliff @siteunseen. I would not recommend removing the intake and exhaust manifolds. I have done it that way, but getting to all the studs without breaking them is hard enough on a stand, let alone in an awkward position while in the car.
Pulling the engine/trans is easy. Just make sure you plug the trans output as Cliff instructed. I use an old driveshaft yoke which seals perfectly, but a pain cap or a sandwich bag and rubber bands will work as well. The higher you get the rear of the car, the easier it is and the less height you need for the pull.
You said you bought a hoist. Is it folding or fixed leg? I found that the folding hoists don't quite have enough reach for a Z and you will need to remove the front bumper. It will work to get the engine out, but the reach is a few inches short to get it back in and aligned over the mounts. I struggled and finally bought a non-folding hoist which you see in the pic Cliff posted. You might want to tape a rag over the sloped side of the hood latch bracket, The valve cover will be very close to it and can easily scrape the paint off. My crusty race car doesn't matter, so I let it drag if needed. I do swap valve covers if I have a nice one on the engine. I usually always use two tie-down straps on each lift eye. That way, I can release pressure on one while the other holds the load. It's great for getting the angle right.