As a test I transfered half of my BTC to my "local" electrum wallet. Now all I have to do is keep my data (keys etc) safe, right?
Would you say after the "dust has settled" I can continue to use blockchain.info?
As long as you control the private keys (basically if your wallet lets you export the private keys then that means you control them). It will be safe. But make sure it is backed up on a USB drive or a paper wallet which is just your seed key or phase printed out and saved somewhere safe.