talk about wallet, i think every wallet is safe. but most of people consider that Electrum is good for saving bitcoin, if you want to save it with hardware wallet,, you need to try Ledger Nano S,, but the price little expensive for me.. each wallet is good to save bitcoin, but you need to test the security first.
No, not every wallet is safe that is the issue, online wallets are well liked methods of storing your bitcoin and yet are on of the most unsafe methods since hackers have a lot of methods at their disposal to hack those wallets that is why cold storage and paper wallets are safer methods of protecting your bitcoins.