Decentralized EXchange is what you are looking for. But don't expect too much liquidity compared to centralized exchange that asking for huge fee. The fee that you paid will be used to pay market makers to trade on there exchange using your coin.
Binance claim that they have no listing fee but it's totally BS. You will never find a trusted exchange that has no listing in all the current exchange available. All exchange offering listing fee is SCAM or has Zero traders on it.
Your chance to get free listing is to win the voting competition of the exchange which is very hard since other project are paying people just to vote for there token. You really need money to list your token in a trusted exchange. That's the sad reality on crypto world.
Looking with exchange can listed coin by free is forkdelta, you not worry after received many kind altcoin from bounty campaign or airdrop project, access to forkdelta website and add costume address of your coin, will show how much your coin price and there are have buy or sell order, I like forkdelta because can listed coin soon as possible after get contract coin address.