Cheapest way to switch from Exodus wallet to something else A few months back I moved my Bitcoins and Ether to Exodus.  I've now decided, as pretty as it may be, the high transaction charges and no way of changing them mean I want to switch wallets. There are other issues too, but this is the main one driving me away.

I tried using Jaxx to transfer the small amount of Ether, using the exported key from Exodus's developer menu.  However, this appears to have swept my Exodus address, rather than importing the address and private key into Jaxx.  It wasn't a complete sweep either - there is still balance in my Exodus Ether wallet.

What I am looking for is a way to just switch Bitcoin wallets from Exodus to something else, at minimum cost. 

I believe I should be able to do that by importing private keys exported from Exodus into some other wallet, but my experience with Jaxx suggests that not all wallets support this. Jaxx support sweeping only.  A discussion of difference between sweeping and importing on 99 coins.

Am I right in my thinking?  If I am, can you suggest good wallets that support what I want to do, and have clear documentation about how to do it?
Exodus eventually answered this questions themselves, with a similar answer to that given by @McLeodX but specifically discussing import of BTC private keys rather than sweep or transfer.

In short, export BTC private keys from Exodus, import them into Bitcoin.info wallet, then use bitcoin.info to do future transactions with fees that can be adjusted.

I am sure there are other wallets for which this method will also work.