Every hospital has different policies so ask your care providers lots of questions.

I've had 3 at 3 different hospitals and all three had different policies.

One thing I can recommend is asking if they will deliver the placenta with your bub. With DD2 hers was delivered at the same time as her. The cord kept intact. They wrapped her and her placenta up and gave her to me. I don't deal well with spinals but I know that and am OK with it so I'm good when DH hold's baby onto my hand for me. She stayed with me and then in recovery I unwrapped my new parcel applied her cord clamp and cut her cord myself. She fed straight away (well she pooed all over me straight away lol but yanno ).