Well, i too thought that we can mix the coins and can put the withdrawal address of any centralized exchange to get the coins which are not linked with our input address, but after reading the comments here, i would refrain from doing so.
Yes. You can use a
reputable mixer then send the coins to your
centralized exchange without any problems.
If the mixer is decent enough then the decentralized service will only know the address from which the coins come from but they will never know your actual address.