There are plenty of exchanges out there for that Express purpose. The biggest difference is between them all, are the deposit and withdrawal limits, the ability to trade between different coins, and their rules and regs for know-your-customer. Show me the exchanges like yobit have extreme withdrawal limits, some of the other exchanges make it difficult to trade between two different all coins that are not BTC, LTC or one of the big ones
If you stick with the big five you'll find that the trust is not a factor. Biggest thing is to make sure that you know your exit strategy. Exchanges are all ok unless or until you find a very small scam exchange which does not let you withdraw.