I wouldn't recommend to use it mainly for the following reason: It's not open source. You don't know if they'll have a timer integrated which will transfer all funds from all users to their bank account at a certain time.
How do they make their money? The claim, they only make money from the exchange where they are using shapeshift. However, there affiliate fees are so low that it's hard to believe that exodus can make enough money to pay their engineers. So how are they making money?
maybe they take a part of transaction fees? People wrote earlier that Exodus always calculated high fees.
They don't. Is just that they don't let you customize your fees, therefore the calculation will always be somehow higher than it should be. The cheapest and fastest transaction at 21.co is 170 sat/byte, but I'm sure that I could choose a ~100 sat/byte transaction and have a fast confirmation time.
They actually make money from the assets exchange through ShapeShift, where they take a small part of the profit.