OK I had the following tests:
Fertility hormone panel
Day 3:
FSH
LH
E2 - estradiol
AMH
Prolactin
Androstenedione
Testosterone
7 days after ovulation:
Progesterone
Thyroid hormone panel
TSH
Free T3
Free T4
Genetic mutations
Genetic karyotype
Factor II 20210A prothrombin mutation
Factor V Leiden mutation
Factor XI Rosenthal mutation
Factor XII Hageman mutation
MTHFR mutation - both types
Blood
Complete blood count
Hemostasis
C protein activity
S protein activity
Lupus anticoagulant
Other
Pre and post prandial blood glucose
Calcium
Phosphorus
Vitamin D2 and D3
Selenium
Various antibody tests
Not all of these tests are equally important, but here are the main ones:
FSH, LH, E2 and AMH taken between days 2-5 of your cycle give an idea of your ovarian reserve. If your FSH is high and your AMH is low it indicates diminished ovarian reserve, but it's best to do these tests in conjunction with an ultrasound around day 10 of your cycle to see your antral follicle count, i.e. how many follicles you have developing in a typical cycle. A very low number of follicles indicates diminished ovarian reserve, a very high number indicates polycystic ovaries. Most people are somewhere in the middle and it is age dependent, so for example, an AFC of 10 would be considered low for a woman in her 20s but high for a woman in her 40s.
These tests are typically done at the beginning of your cycle, but your AMH can be done at any time because it remains stable. Your FSH, LH and E2 levels fluctuate a lot, especially in the first half of your cycle, so the test should be done before these hormones start to surge in preparation for ovulation.
The progesterone test is sometimes referred to as the Day 21 test. However, this is based on you having a perfect 28 day cycle with ovulation on day 14. It should actually be taken 7 days after ovulation. Ideally you are tracking your basal body temperature and can pinpoint your ovulation day exactly. Otherwise, if you are doing ovulation tests you should do this test 8 or 9 days after you get a positive test. The purpose of this test is to see whether your body is producing enough progesterone after ovulation. If low progesterone is an issue, supplementing with progesterone may help. Most women treated for recurrent miscarriage are prescribed progesterone even if their test results don't indicate that their progesterone levels are the cause.
The tests for the various genetic mutations are to see whether there may be a known genetic factor causing your miscarriages.
The genetic karyotype test and the MTHFR tests - both mutations - should be taken by both you and your partner.
When I had my first round of testing my husband and I both had our genetic karyotype tested but I was only tested for one of the two MTHFR mutations and he wasn't tested for either. When I switched to the new doctor he prescribed the full MTHFR tests for us both.
The genetic karyotype test will reveal whether either of you have any disorders of sexual development and whether either of you are a carrier of a translocation. If either of you has a translocation then you have a high probability of miscarrying, and this is one situation where IVF is an expensive but known fix. The IVF would involve preimplantation genetic screening and any embryos carrying the translocation would be discarded.
The MTHFR mutations affect the body's ability to metabolise folic acid, meaning that you need to take folate or methylfolate instead. Personally I would advise that you and your partner just both assume you have at least one of the two mutations - they are pretty common - and take 1000mg/day methylfolate.
I don't know much about the other mutations but they are linked to recurrent miscarriage - possibly clotting disorders? Depending on what is found you may be put on an over the counter treatment such as baby aspirin, or something stronger such as clexane/lovenox injections. Baby aspirin is something you can do yourself and many women self medicate in this way. A lot of women are advised to take it during pregnancy for all kinds of reasons such as age or having previously had a low birth weight baby. My doctor told me to stop taking it at 35 weeks, I assume because it increases the risk of postpartum haemorrhage.
The blood panel, again, is mainly to try and diagnose clotting disorders, and the miscellaneous tests are to see whether you have any relevant nutrient deficiencies.
And the thyroid panel you already know about.
I think I already mentioned that in addition to these tests I had an ultrasound to check my antral follicle count and endometrial thickness, a hysteroscopy to check for any scarring or structural issues in my uterus, and an endometrial biopsy to check for abnormal natural killer cells. As far as I am aware the only doctor who does the latter in the UK is Mr Shehata, however, there is a long running thread on here about it, if you search on Google for "Mumsnet Shehata natural killer cells" or similar you should find it. The most common treatment for that is prednisone, which reduces your body's autoimmune response to pregnancy.