Is there any wallet that's also offering trading or something like that?
To be honest with you use your main wallet instead of wallet in exchange wallet they are not safe, why you use wallet that have already exchanging market your main wallet is the safest way of storage of your coins balance then doing trading you must go to in trading site like binance, bittrex, ploniex and hitBTC those exchanging site now are having a large volume of coin which is good to trade.
So good luck mate happy trading!
