I had a post menopause full hysterectomy recently, via the laparoscopic entries. My recovery was so uneventful, it was a bit odd. I didn't even need pain relief. I was very good about not driving, lifting, etc and I did get very tired for the first couple of weeks.
One thing that helped no end was that pre anaesthetic drink, can't remember the name, that provides nutrition to enable a quicker recovery from the GA. I usually take ages to recover but not this time.
I was also advised to take some Movicol for the first week or so. And was given some anti clotting injections to self administer daily, which was, surprisingly, not at all horrible.
I asked my gynaecologist some very detailed questions about what would happen inside afterwards and was reassured that the vaginal cuff, as they call it, wouldn't be just flapping about with no cervix to hold it but that there were also a couple of ligaments attached, which would hold it in place. Also, the internal organs would naturally resettle into place in the abdomen with no voids.
There is a slight ongoing risk of prolapse post hysterectomy, but this is now my excuse not to do the heavy lifting!
Good luck.