This is a pretty loaded question. Chelation is most certainly a process. You will most definately want to be sure there is no leaky gut or leaky brain, which is often reduced or healed up while eating primal/paleo. Trying to release metals that have opportunity to pass through the blood brain barrier can cause a negative reaction (anxiety, depression or a microglial storm and neurological impact).
There are many more metals that store in the bone as well as fat, foremost lead and other everyday exposures. Dr. Garry Gordon has a pretty good and relatively slow chelation product taken orally. He specializes in detox, cancer and longevity. http://gordonresearch.com/articles_oral_chelation/ There are a few interviews online with him too.
Whatever you decide I highly recommend you do your homework on the process ;-) and be confident in your program. If you loosen up these metals, toxins or chemicals you want them to get out of the body rather than ping pong around inside or reabsorb.
Our bodies don't like to store toxins. That's what the liver and kidneys are there for! Most water-soluble things have short biological half-lives. Fat-soluable things have a higher tendency to stick around, though chelation itself only goes after metals (water-soluble).
So in the end, chelation is quackery, unless you dose yourself with something particularly nasty.