I can't have hormones due to circulation issues, so pills and Mirena are out. I've had a copper iud for 10 years (got to get it out, and dh must do the v, but that's another thread!) with no issues. Ive lost it a few times, lol, but it turns back up at pap smears, etc, so it's there even if I can't find it! My periods are heavier, but not terrible. But, I'm old now, not many years of fertility left, and I don't want to do another or have a surprise mid life baby, so it's time for dh to step up. I would recommend the copper iud on my experience, though.
Post fertalizationlosses run at about the same percent for women on no birth control, FYI.