I just tried placing an order and Evercoin's fees appear to be significantly lower.
Shapeshift: 1 BTC -> 14.20477011 ETH
Evercoin: 1 BTC -> 14.25967407 ETH
Changelly: 1 BTC -> 14.35434362 ETH
While Changelly appears to have the best rate they don't guarantee the rate. In my experience the actual rate is often much worse than the estimated rate (and unfortunately it's too late to cancel once you see the rate).
Shapeshift: 1 BTC -> 14.20477011 ETH
Evercoin: 1 BTC -> 14.25967407 ETH
Changelly: 1 BTC -> 14.35434362 ETH
While Changelly appears to have the best rate they don't guarantee the rate. In my experience the actual rate is often much worse than the estimated rate (and unfortunately it's too late to cancel once you see the rate).