I got an email from blockchain.info some time ago that they supported the Bitcoin Cash chain. I haven't tried using the new feature, but I would trust them more than other webwallets. They have been around for more than six years, that's before Bitcoin really got 'hyped' and they're one of the only webwallets that allow you to manage your private keys/seeds. But if you want topnotch security and be responsible for your own coins than you should use a desktop wallet instead.
i have tried it on blockchain.info
i have imported a bitcoin private key on which address i had around 1$ in btc left and around 0,15$ BCH
i was able to set low fees of even only 0,13$ and the bitcoin transaction went through
but unfortunatly i dont see my bitcoin cash balance....
also i dont see the option to import BCH private keys and i dont see my the BCH balance or the option to send BCH
i can only see my eth and btc balance but i even dont find the option to import eth addresses