I did not have my arms tied.
Prophylactic antibiotics is the standard of care. It reduces the rate of postoperative infection. Keep in mind that until a few years ago this was done for all surgery BUT c-section... recent research has shown it is important for CS too.
Nursery: This is dependent on hospital setup and protocol. Some do some don't. My first didn't, my 2nd did, but I probably could have fought it - I did not because I knew my closure would be lengthy. My DH could have gone. If they keep the neonatologist and everything in/next to the OR it can probably be avoided if you ask (unless baby needs to go of course).
Skin to skin: Sometimes. keep in mind you may not want it in the end due to the temperature of the OR and the incline you will be at. If there are any issues with baby's temperature regulation you can consider this to be out. The OR is kept cold. I was happy to have the baby brought to my face to kiss and not to attempt skin to skin.
Some OBs will delay cord clamping, most will not--keep in mind the research on it has been done with vaginal births primarily. Not that it couldn't offer a benefit for CS babies, but the surgery introduces other factors that have not been studied. Generally, they want the pit in, the placenta out and you sewn back up ASAP.
Ask about anaesthesia, whether partners are permitted in during administration or only when you are numb (I've had both methods), recovery setup. At my 2nd you were prepped and did immediate post-op in an LDR right across from the OR. It felt much more "normal" than my 1st where the surgery was kept all separate from the regular L&D patients.