Unless you are liquidating your BTC you should simply allow them to sit as they are. Segwit was already adopted by Ledger, when opening your wallet you will see the option to sweep all of your BTC into a Segwit wallet. I am not positive about Exodus but seeing as they are a major player in the wallet game I would say that the same is true for them as well. Make sure you have the latest versions of both apps installed and give it a second look.
RE: Just sent $745 of BTC for $0.34