yes I am using the blockchain.info on my computer but I have been told to try the wallet at
https://greenaddress.it/ which many have said have safer privacy and security mandates.
Blockchain.info in theory should be quite secure. They offer pretty good security features, allowing you and only you to be able to access the private key thus no one else can spend it. However, they have incredibly bad reliability due to their recent downtimes and several security vulnerabilities which could have been avoided. Greenaddress.it is quite a good choice but the android app is slightly buggy for me. I would recommend either Multibit or electrum for the best ease of use as you can easily forget your mnemorics on greenaddress.it.
Yes but you can export a backup of the wallet, and in case they get shut down permanently, or they lose your wallet, you can still recover your funds with another wallet provider.
What if there is a bug in their wallet generation process? That is what I meant by unreliability. This has happened twice and could potential caused thousands of users their entire Bitcoin savings. Greenaddress.it takes a less conventional way that is to use nlocktime but it requires you to wait in the event that they get shut down. Correct me if I'm wrong.
Well if they happened twice already then its a bit unreliable. They either fixed it already, or they are very unreliable.
Either way I would not hold more than 0.1 btc in an online wallet. Usually that amount is enough for you to spend your average bitcoin payments. Whenever you spent it you just refill it from your cold storage wallets.
For online wallets (read: hot wallets) I would just use an insured system, like Coinbase, Xapo, Circle. Problem solved.
But then you trade privacy for security, as they will ask you for all documents, and they already censor some transactions.
Big brother will decide what you can buy and what you cant, not you!
I've given personal information to exactly zero of those, so not sure where your information comes from.