In terms of being your own bank. It is not sufficient that you just have your own private keys stored somewhere on the internet. In cryptocurrency, there are also problems occurring similar to banks where people can have their money stolen. For you to secure your funds, an offline wallet is a must especially if you are to store thousand dollars worth of cryptocurrency. This
article can help you in choosing which hardware wallet suits you and we'll help you up to set up your own bank.
Indeed, web wallets aren't that secure to save on them a few thousand dollars! I mean it will be better if you got a hardware wallet and you save your bitcoin into it. I really recommend them because you're just storing your bitcoin offline and no one can hack it unless if the hacker hack you physically, but if he even do that I don't think he's gonna steal your bitcoins. Ledger Nano is one of the good bitcoin hardware wallet and it's really good I guess.