Clearer than this schematic is impossible as everything is exactly stating what it means.
Sorry, but if you don't understand it, don't start using a soldering iron or it will end up with a disaster.
Go to someone understanding it and the pickups will be fitted in no time, especially as EMG is using connectors since at least 25 years, so there's no need for a soldering iron, except if you are mixing old and new items...
The red wire on EMG's is always the + battery wire.
The white wire is always the hot output of the pickup.
The braided shield is always the ground of the pickup.
The ground is, ... well, the ground.
The output is where it goes to the next stage, which can be the volume, the preamp or the output jack, depending on what you need or want.
The black wire here is the ground of the pickup (= braided shield).