What is the best and cheapest way to Exchange cryptocurency?
Without all most 0 fees!!
This is impossible if you're going to use a third party service. The possible way to exchange it without getting scammed is via peer to peer. The only disadvantages of it is is looking for the person who wanted to trade with you, travel cost and their location should be near at your place at the same time. It doesn't hurt much to use a third party service since their fee isn't that expensive.