Each blockchain (BCH, BTC, ETH, etc …) has its own type of wallet.,
If we look at it like email, the crypto wallet in the world is like an email inbox that everyone can read but only the owner can send payment-emails out of and receive payments into or receive change from previous send-payments. You can have multiple wallets for each blockchain.
Crypto-addresses are not easily linked to the user’s true identity unless the user is careless or publicly announces it. In the BCH and BTC public ledgers, everyone’s address is public – everyone can see how many addresses have funds but that’s very different from knowing who is the owner of those addresses.
Each wallet on a particular blockchain will have lots of addresses / coin fragments.
Hardware wallets like the Ledger Nano S and Trezor are considered to be the most secure way to store your crypto-currencies and we put a strong emphasis on teaching you to be comfortable and relaxed about recovering your funds by showing you how to practice regularly [every 3 monts recommended] with just dollars in your wallet. Prior to you going through the recovery process you will have moved your funds to another hardware wallet that you have previously recovered [typically 3 months prior]
These are recommended for storing your petty cash or weekly budget. Typical hot wallets are bitcoin.com for the cellphone and BTC-electrum /BCH-electron cash for your desktop.