I have some ETH and would like to covert them.
Can you suggest me trustworthy exchanges or markets with the best conversion rate and would be able to transfer into my bank account directly?
I'd stay off the exchanges.
If you really don't have any other choices, go with decentralized / peer to peer like bisq.com
Besides Coinbase, you could also try out Bimex and Gate.io as well.
I'll Recommend Changelly myself I had a pretty good experience with them in the past.
Kraken offers Bitcoin to fiat bank deposits. LocalEthereum provides peer-to-peer ethereum to cash transactions.
CEX.IO - can sell at a premium... has fees but they are included in the sell price. Use them to sell both ETH and BTC, never had any issues.
https://localethereum.com/ allows peer-to-peer transactions of ETH to cash and vice versa
Hands down gemini.com quick to your bank act
Great thanks for the recommendation guys! Really appreciate it.