My suggestion is to take a tour of Bayfront's delivery floor. You can call and schedule one, and then they can answer all your questions.
I had all three of my children at Bayfornt. My oldest was an emergency c/s and by the time the doctor told me we had to do this to the time my son was born was about a total of 15 minutes. Very scary situation, but I wouldn't have wanted to be anywhere else. I had my own surgical team and my son had his own team. Very professional and everyone knew what they were supposed to do and did it. I wasn't able to see my son for several days, do to his initial condition and then I spiked a fever but my husband kept checking on him and giving me updates. If a situation like that should happen, just remember their focus is on keeping the baby healthy, not to be mean to a new mother. Thankfully, my next 2 children were scheduled c/s and those also went very well, although be prepared for a much longer time in the OR. Its more like 45 minutes or so once you get in until the baby is born. As for the nurses, some are better than others, but as long as your DOCTOR has everything on order for you, you'll get your meds when you need them, etc..etc... The nurses can only do so much so just make sure your doctor has everything for you. Also, my second son developed issues while at the hospital (I know that the Lord healed him because there really is no other way) and the Nursery staff was kind and supportive. We were there all hours of the day and night and that was never an issue. The security is tight, but that is exactly what you want for your most precious gift.
Oh, I never had my children in the recovery room with me, but I didn't breastfeed either. Your body will do some weird things like shaking uncontrollably due the the spinal wearing off and the nurses are always checking you and cleaning you and moving you so unless you have to have the baby there, I would suggest waiting until you are in your room. That's usually about an hour. Come to think of it, I don't remember ever seeing a baby in the recovery room. You'll see the baby in the OR, but after that, I think they are taken to the nursery to be weighed, warmed and have all the vitals and stuff done there. Anyway, good luck and God bless your new baby. Its not a bad experience, but will be different than your first.