Wallet fee’s

So I am trying to move eth from my wallet. My pool allows me to send payments to my wallet for the market rate of ~50 gas but when I try to use MEW to send my eth elsewhere, MEW says the minimum gas required to process the transaction is 21000. Is MEW really that much of a rip off? Would using the Geth program on my PC allow me to send my Eth at market gas rate?