Definitely get onto tranexamic acid and/or northisterone from your GP first, as it will massively help to reduce heavy bleeding and control it, make sure you take it rightly and it will help a lot.
You have a few options being, myomectomy (removal of fibroids), or Acessa or Sonata (radiofrequency ablation of fibroids) or fibroid embolization (interventional radiology procedure to block blood flow). They aren't that big so a myomectomy or hysterectomy isn't necessary, I'd go for the meds of Acessa or Sonata to try and shrink them and also the coil inserted well or vaginal progesterone instead like the pessary or the gel.
The coil helps and as your fibroids aren't that big, if you get it inserted right it could help - so make sure you take paracetamol and ibuprofen 1h before and also insert licodaine into your cervix and also numbing gel/spray. Call them before and make sure they give you all of that and have it ready.
So during a menstrual cycle, progesterone is released later on (luteal phase) - it basically tells the hypothalamus and pituitary glands, stop now you've done your job (which is thinking the uterus lining), let's not go overboard and progesterone maintains the uterus lining (whereas after your period, estrogen stimulates it to grow more). Essentially the hypothalamus, or pituitary glands at that point stop producing FSH, LH - that means that less estrogen is produced. Because when LH and FSH is released it triggers a follow-up of estrogen.
So more progesterone means that we can suppress estrogen secretion and hopefully stop more growth of the uterus lining (helpful for periods, as it can thin the lining and also help to shrink the fibroids as well so less bleeding and cramps). So mirena coil mimics the luteal phase. I'd really recommend from my personal experience.