Yes, they are exactly the same. To "acquire" the BCH, do the following: first, as a safety measure, "spend" it all on the BTC chain, by sending them all to a new wallet you also control; after that, these private keys have no BTC, but still have all the BCH. Then, you have to find a BCH wallet software which is compatible with your private key format, and import the private keys into it. That's it.