I bought £100 etherum the other day, converged it to btc, sent it to a tumbler which I think was Evercoin. From here I sent it to my electrum. The fees were £25 in total so I ended up with £75< worth of btc in my account.
My question is however, is there a higher charge the more btc/Monero you transfer around?
My fees this week haven't been higher than $1, every transaction confirmed within 5 minutes. You're probably not using a segwit wallet or you're using an exchange which still hasn't implemented segwit.