Thanks, that's very clear and straightforward.
Do you think I should I be running Electrum and Electron Cash on the same machine that I'm using for every day life? Or should I immediately get the keys and addresses for my new BTC and then delete Electrum?
Personally, I'm using both on the same computer without any issues. But if you are a paranoid man, you can do whatever you think its better. Maybe even run a temporary virtual machine to claim the BCH.