I believe Binance and coinbase and some other famous exchanges are stable and trustworthy. A right exchange for you might be you think 1) the more verification / detail of KYC required; or 2) the more coins choice for you ; or 3) the most user-friendly display for you ; 4) low transaction fee . Be note that, not every exchange do have the same token, not every ICO can be successfully listed on every exchange, so if you are going to vote for any particular coin, check if the coin is being listed on which exchange platform first.