Congratulations on successful treatment! In addition to the prescribed meds you may want to speak to your doctor about getting enough iodine, vitamin d, selenium, and iron.
Frequently we see thyroid replacement made with something called levothyroxine (aka T4,) which is the main hormone made by the thyroid. This hormone doesn't actually DO anything in the body. When you need "action" from the hormone you convert it to liothyronine (aka T3.) This conversion requires the four substances previously stated. Keeping these levels adequate will help the treatments you're receiving be as effective as possible, and help you stay healthy and feel good!
Okay, I'm a geeky pharmacist. But I make sure ALL my own thyroid patients are keeping up with these levels, just like their TSH, free T3, and free T4 levels. This may be (and I hope it is) all stuff that they've already addressed with you, but in the USA many physicians aren't following these things, certainly not the standard of practice.
I think I just doubled my word count here on the outpost...