Cost is the price of something that you can buy. It's hard to explain but you would use this for shopping mainly. A fee is a price you have to pay as a consequence of something. Like the fee for a parking ticket or a bank fee for over drafting your bank account. Charge is similar to fee but it's how you use it in a sentence. "The fee on this ticket is outrageous!" "What's the charge?" "What are they charging you" You can use it when referring to credit cards too. "Charge it" "Did they charge y our credit card?" I don't know how to explain fare hahaha. It's not a word used often in the USA.

there is a "expense" too!