Based on what I have learned since my over-treatment for a complex ovarian cyst, I would listen to your doctor and go with monitoring them via periodic ultrasounds.
You do not want to have surgery unnecessarily. For one, there are risks with every surgery. Secondly, many women lose an ovary or ovaries for benign ovarian cysts versus just the cyst(s) being removed (cystectomy). We need both our ovaries our whole lives, not only for reproduction but also as endocrine glands that produce hormones needed by all our cells to keep us healthy. The uterus is also vital our whole lives despite the medical community treating it as if it is disposable after we've completed childbearing.
I hope this helps! Please keep us posted on how all this plays out.
Could the pain possibly be from something other than the cysts? Maybe endometriosis?
If it makes you feel any better, I had a complex cyst on my left ovary 8.8cm and had to have it removed due to not the cyst but scar tissue. So it is possible to have the cyst removed with removing ovaries. As well as having a successful pregnancy with one ovary.
You should follow the recommendations of your doctor. In general, complex ovarian cysts are initially followed by repeat ultrasound; for example, 4-6 weeks or 6-12 weeks. If not improved/resolved on follow up, then consider MRI pelvis.