Bitcoin.com is owned by Roger Ver who claims BCH to be the "true" Bitcoin, thus he refers to BCH as "Bitcoin" instead of "Bitcoin Cash".
The process for paper wallets is more or less the same for BTC, but I wouldn't trust Bitcoin.com's instructions anymore. Either way, paper wallets may be a bit unwieldy when setting up cold storage for an online service.
Then cold storage can be just Ledger Nano-s like hardware wallet?
For example. I'm not sure about exchanges, but some of the Casinos use hardware wallets for cold storage and refill the hot wallet manually whenever needed.
Another possibility is setting up an air gapped machine (read: an offline machine, never to be connected to the internet or other networks and devices) with Electrum or Armory.
That being said: You really
really shouldn't start an exchange. Judging from your questions -- don't get me wrong, it's great that you are asking and trying to learn -- building and running an exchange is way beyond your current capabilities.