Types of Bitcoin wallet
-Hardware wallet
-software wallet
-custodial wallet
You would have made it only two, which is under the category of a custodial and non custodial wallets, then under each sub headings, we may have various types with examples fallen under them.
-Hardware wallet:a hardware wallet is a high-security bitcoin wallet that enables you to store your funds offline.
Hard is not the highest in terms of security, you may have to consider bitcoincore, also, you would have mentioned a few examples of these wallets and recommend for some of them.
wallets security and privacy mega threads
https://bitcointalk.org/index.php?topic=5509759.0Open Source Hardware Wallets
https://bitcointalk.org/index.php?topic=5288971.0-software wallet:
bitcoincore
https://bitcoin.org/en/bitcoin-core/