As you previously suffered from heavy bleeding and have fibroids, I would say it is imperative to have private comprehensive sex hormone testing before medicating HRT. HRT is helpful in preventing osteoporosis but so is optimal thyroid hormone and you may find you don't need further sex hormones but a more balanced thyroid.
If you medicate HRT the thing to watch for is a protein called thyroid binding globulin (TBG). Ask your GP to test it as the oestrogen in HRT can cause the liver to produce high levels which can bind the thyroid hormone, decreasing the amount that can be assimilated into and utilized by the cells.
This will lead to a low level of active thyroid hormone and all of the negative side effects of hypothyroidism. Many people require a levothyroxine dose increase when medicating HRT.
Beware that it take many many months after starting Levothyroxine for the body to recover after long term undiagnosed hypothyroidism.
Also for many, thyroid hormone replacement will only work well with optimal iron and nutrients. Adopting a g/f diet may help reduce elevated thyroid antibodies that can impair good thyroid hormone synthesis.