Hi
I had a total thyroidectomy a few years back, but that was pre-baby. My hubby was able to stay overnight at the hospital with me, which was great as I hate hospitals and didnt' want to be alone.
I guess you could try having your baby with you and see how that goes? Probably best to keep your options open as much as possible.

I was in hospital maybe 4 days all up and spent another week or so resting. I'd recommend making sure you have plenty of support for at least a week after you come home, just in case. Is your surgery for hyperactivity, or tumour, or something else? Your recovery might depend on what sort of treatment you're receiving. For me, I also had to deal with getting my mediation levels right, which took quite a long time. Being hyper or hypo makes you feel pretty awful.

All the best~~