All online wallets in my opinion are safe, I have also used an online wallet for a long time and have never experienced any problems, a secure wallet all depends on you in managing it and maintaining a password or private key.
Really, if you know how to manage your private key and keep it in a safe place, you will never have any security problems with it. Up until now, I only use the Ledger Nano S and it is probably the number one security wallet in the crypto market. In addition, you can also use some mobile wallets such as Trust Wallet, Myetherwallet, Metamask because these are also very secure wallets.