With mine I had very strict restrictions the first six weeks, because they used the ligaments normally holding my uterus to support my bladder during that repair. I had to make sure those held properly, so was not allowed to do any lifting, driving, etc. (no sharp/fast movements). I was only mid-thirties and they did not want to have to go the mesh route, which often has to be replaced over time. I had huge fibroids, one was sitting on my bladder and caused a lot of ongoing issues. After 6 weeks I was gradually allowed to regain normal activity and have never been told not to do anything…
Having a horizontal incision where they go through muscle, you want to make sure it has time to heal properly. If possible, ask for stitches instead of staples! The other consideration is what happens inside. I, like the OP, had chronic bleeding and the accompanying anemia with it, so was used to that. But what surprised me was how long the inside took to heal. Maybe it's just because my cervix was removed as well, but it was uncomfortable and I had light bleeding on and off for about a year afterwards.
I will tell you though, I was totally amazed by how much better I felt right afterwards, even through the pain! Before with the fibroids I always felt bloated and sort of weighted down, what a release when they were gone!