I'm still using blockchain.info to receive my bitcoin earning and i feel safe to use blockchain as a my bitcoin storage
I suggest you to backup your bitcoin into desktop or hardware wallet. Just in case in something bad happen.
Web wallet is safe, but it's not really safe. Because you can't control your wallet completely.
That is true, web wallets are good enough for our needs.
But to "protect" our self we should move to offline resources like Ledger or Trezor
If web wallets lets say Coinbase goes offline, then out bitcoins can disappear too, because we don't control them.