Try Xapo, As they are really convenient when sending bitcoins because you don't have to pay the miners fee as they already eliminated it .
But just like what the others said, Only keep a small amount of money in online wallets as they are very risky because most of them don't give private keys .
And don't try coinbase as they are very strict, every transaction is regulated they can block or even terminate your account .
Huh. It's not just Coinbase that is strict as the same goes for Xapo as well. I'd say they're even "stricter".
Both are regulated, both randomly asks for KYC/AML and both are very well-known for freezing accounts. The only thing that's great is the "free" transactions.
Having said that, I haven't personally encountered issues with either one since taking the time to read their Terms should go a long way in avoiding any hassles.
As for blockchain.info, I was a great fan of the previous version but ever since the update, I haven't used it much and have since opted for Electrum and Mycelium instead.(Since I'd be paying the fees anyway.)