I have Graves' disease and everything midwest1 told you is right-on....especially about the endo's recommendations.
Graves' is a self-limiting disorder which means there is a period of active disease (hyperthyroidism) and then remission. 80-90% of people taking anti-thyroid drugs can go into remission if they are allowed to take those meds long enough until remission is confirmed vs. some arbitrary timeframe.
The key to healing from Graves' and feeling well with the disease is to make sure that you are medicated properly.
Just as people with hypothyroidism have trouble being medicated properly, so do we Graves' patients.
I've been down the Graves' road since June 2007 and have done a TON of research besides participating on several thyroid forums.
I went into remission back in Nov. 09 and, in March of last year, joined the 20% of Graves' patients that move into hypothyroidism. This can be temporary but, just like hyperthyroidism, it must be treated.
I've learned what needs to be done to feel well while having Graves' disease and am more than happy to share

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edited to add PS: I saw a succession of 3 endos - none of them knew how to medicate properly for Graves'....I was in remission by the time I found a "with-it" doctor, an internist.
She proved to me just how "with-it" she was when I went hypo under her care. Please check in with us as you move forward - we can help you sort things out.