groovy,
I can completely relate to you. I had a number of health problems when I lived in Hove (like you, I have hypothyroidism, and have to take meds every day for that, along with having a hip replaced and other medical problems). It's an irritating routine to sit and count out how many pills you have to take, for different things, EVERY day of your life. Sometimes, I don't even bother, because I'm so sick of it.
I've moved from Hove to Norwich (and timing-wise, I've paid for it deeply). I have yet to find a GP here (my GP in Hove prescribed me 56 days' worth of meds the day before we moved. He also recommended that I get grief counseling. F--k that. My dad is a psychologist (Ph.D. and all that), but he also was the cruelest person I've ever come across. Counseling won't bring her back. My mother died and we were waiting for our movers to actually FIND where we were moving. Anyway, I won't go on about that. If you're interested, look under Expat Life, and then click on Homesickness and Hard Times.
Anyway, you can always request a different GP in your local office. In fact, the original GP I had was a total a**hole, and when I mentioned how abrupt he'd been with me on the phone, the receptionist said she was going to refer me to another GP in the first one's practice. He was kind and concerned, unlike the first one. Just ask your local receptionist who is the kindest GP in the practice (they all know), and hope you get an honest answer. Then you can simply change GPs, given that they're in the same practice. I hope any of this advice has helped you.
Best wishes,
Suzanne