ops did not mean to hit send yet. there is always a risk of cancer ..ask your dr for a blood test now called CA125 it is a ovarian cancer marker, odds are in your favor that it is not cancer likely reoccurance of cysts, which are very painful.
HI a lap is much easier for recovery there is a even better option called the DaVinci laproscopic procedure it uses a robotic device and computer imagery dr can see even the tiniest of vessels, the recovery from this tends to go very well and you loose less blood, have very small scars, a open surgery is easier for the dr not you. Id insist on a lap.
If the laparoscopy can do what is necessary, it is a less invasive process and has an easier recovery. But that is only if it does what is needed. If you need a hysterectomy, there are various kinds. I would discuss all the options with either doctor or even a third doctor. I'm sure sorry you are going through this.