2. Create a totally new logical wallet with a new mnemonic, etc. Just creating new addresses is not sufficient: the new wallet needs to be completely separate from the old one. The new wallet's private keys should be under your personal control just in case your transaction is replayed or something else goes wrong. Make sure you have backups of the new wallet.
3. Send all of the BTC in your old wallet to your new wallet, and wait until this transaction has 30 confirmations. (If you are really itching to get your BCH, it would not be totally crazy to wait for as few as 3 confirmations, but there is some risk with that.) Note that sending all of your BTC in a single transaction is likely to be harmful to your privacy; if you care about this, you might want to send it in several smaller transactions to several different addresses on the new wallet.
4. On a separate computer that you wouldn't too much mind being compromised, install a BCash wallet such as one of the ones listed on bitcoincash.org. (Warning: some Bcash wallets are known to overwrite important files belonging to their Bitcoin counterparts.) Or use a Web-based exchange/wallet supporting Bcash. Import the private keys from your old, now-empty Bitcoin wallet into this Bcash wallet. Now you have BCH which you can handle as you wish. Note that BCH transactions may be very slow to confirm for a couple of days.
Thanks for the info. Questions:
1. If I import the private keys from my
old, now-empty Bitcoin wallet into the new Bcash wallet, does this mean that the my new Bcash wallet will have the old BTC addresses, which are now empty?
2. If someone were to send me BTC to my old BTC address, I could still use my old wallet to retrieve those coins, right?
Yes on both questions. Your new BCH wallet will have the complete history prior to the hardfork.