I was after recommendations for best places to ETH wallet online (not on your computer)
why not just keep them on an exchange?
you are taking the same risk by trusting a third party wallet website that you don't even know the history of.
but with an exchange you at least know there is no additional risk (other than exchange running away)! just remember to use a trusted exchange like poloniex, bittrex, btc-e and use strong password + 2 FA
and besides you will end up selling them soon anyways so what is the point of transferring them out.