Misty325 gave excellent advice. I'd like to remind that with the salt needs to be sufficient water, or the bromine won't make it to the kidneys and out.
Oil pulling helped my husband tremendously. He used a tablespoon of organic sesame oil and swished it in his mouth for 10 minutes. It never failed to be stinky when he spit it out, a sure sign of bromine. He took to rating the pulls, where a +1 was eh, not so much, and a +4 was near vomit-inducing.
Some people need more Iodine to get through a detox, and some need to stop-start it, or decrease the dose and then increase again. I've always needed just to bull through it as best I can, though I have pushed the dose and then let up on it, again and again.