I am using blockchain.info from long time without any problem.
yes blockchain.info is fully trusted and highly trusted foreverwhy?
read this for example!
https://www.cryptocoinsnews.com/gentleman-hacker-returns-stolen-bitcoins-blockchain-info/
the idea of bitcoin is that you have no other (third parties) who keep your money safe for you.
a online wallet is maybe good as a temporary solution. but i would never trust in long term!
Do it oldschool and download bitcoin core, the orginal bitcoin client. if you like bitcoin then you have the required space on your harddisk ...
sure, that's incredible how people can save their money at online wallets and exchanges. that's like you invite strangers to your home and give them private keys, quite unsecure. at our cryptofund we use cryptovps - cloud computers with pre-downloaded bitcoin core and mist for eth transactions. it's always up-to-date, full node starts at 30 minutes and accessible via smartphone. blockchain is going bigger from day to day - thats's the only way to stay safe and sleep calmly
here it is eggsdc.com/en/cryptovps-for-wallets