Well, i want to use LTC. Other than government and the exchanges (exch.cx) themselves, other people can't trace it like you , me and other people only access to the public blockchain ? Please tell.
If you do not care about the government and the exchanges to trace you, you can go for any exchange of your choice. Even you can go for other no KYC exchanges. Because you are depositing to the same address on other centralized exchanges, your withdraw would be in another address entirely. This is how exchanges works. So, if you are not looking for anything more than that, you can go for
https://exch.cx/. It is one of the instant exchange that I can recommend.