I like to use the equalizer bars that mount to the engine with four chains. Then you can pull the trans with it and tilt it as needed to get it out.
Once the engine is ready to pull, and I got my equalizer on it, I can have the engine hovering over the engine bay in less than 10 minutes by myself....
pick it up horizontally and free it from the motor and trans mounts, then pull it forward and tilt it up to clear the radiator support, and then lift it and level the engine parallel to the ground and move it where you need it...
Separate the trans and put it on my home made engine dolly: (notice how I use a spare trans yoke to keep the trans fluid from spilling while tilting and lifting the engine out...)