Good luck with your surgery. I had a hysterectomy in 1996 (abdominal, not laproscopic). I didn't ride then, but I was active.
First advice, get some button-up shirts. You'll feel uncomfortable lifting your arms over your head for a while. And lots of pillows. Laying down and getting up again was a bit challenging for the first couple of weeks. If your bed is very high, you might consider sleeping on the couch for a while. Oh, and don't freak out when you feel your other organs sloshing around in your abdominal cavity post-surgery.
Now, about cycling. I didn't ride, but I did ski and skate and I also worked out at the gym.
I was in the hospital for five days. I was back out & about in two weeks. I returned to work in six weeks. I was working out at the gym by week seven (including ab work). I started skiing during week five (yes, before I returned to work). I was nervous about "busting my stitches" but the doc assured me that there were many layers of stitches and surgical lace and it would be virtually impossible to undo them. I was very swollen for a long time. I don't remember now, but it was probably a couple of months before the swelling went completly down and I was able to wear all my normal clothes again.
Oh, I didn't have any sensation on my abdomen for about six months. I remember the first time I could feel my boyfriend's touch on my belly again. It was so strange. But I did have that crazy, itching, healing sensation deep inside.