exercise after salpingo ooferectomy ( ovary and tubes)

I had this surgery 4.5 weeks ago. I am up to several walks daily of one hour each. I am doing hills ( living in the land of hills) and stairs as part of my walks. I am wondering about the next level of healing. Do I move onto the elliptical? I think running ( and any other cardio with impact)vwill be last and of course free weights. I would like to start swimming at week 5 or 6.

Has anyone gone through this surgery or know about the recovery process. My incisions are doing well and I went back to work for half days this week.