the fee of the litecoin network is super cheap, I paid 20 cents today. But the exchange's fee, unfortunately, is up for them to define, and sometimes they do abuse customers. 3 dollars is fine though, in some countries the exchanges charge like 50
exodus is good; however, like most things involving bitcoin, isn't very user friendly
you'll need to know how to keep yourself safe when using a desktop wallet. I choose to use a hardware wallet because I don't trust my own skills to do so
once your coins are stored with you there will be no exchange fees, making them cheap to move around. Though with bitcoin right now the fees are very high, making it unadviseable to move small amounts with it