I think this time I want to be the first one to hold my baby outside the womb. I wanted to last time, but our UC ended in transfer (uneventful, but obviously the doctor caught the baby).
For me, I guess it doesn't matter too much except that I want my baby right away. In the hospital, they insisted on putting a hat on her before I could hold her, and I just remember my heart pulling so hard to try to get my hands on her, kwim? I needed to hold her and feel her in my arms and on my tummy/chest. I needed outside-the-body connection because our intimate inside connection was mostly over (we left the cord alone until it stopped pulsing - definitely want the same again). There was something very reassuring about feeling her on my chest, my arms around her, looking at her, her looking at me, while feeling the warmth of the umbilical cord stretching from my vagina and still pulsing blood from my body into hers. She wasn't crying at all, just looking up at me and dh with bright eyes. A much more gentle transition. That part is very important to me.
I think what I really feel is that I don't want anyone stepping in and usurping my place with my baby. In those first moments, especially, I can't share. This is still MY baby. I need to get used to the idea of him/her being on the outside rather than the inside. I know dh would respect that and if he did catch, he would immediately hand the baby to me.
What dh really wants is for everyone to go home ASAP and for us to snuggle up in bed together and sleep/cuddle. I have a feeling we'll need a companion for dd (will be 24 mos) to make that possible!
ETA: I didn't realize this was the UC board, so just to clarify I am having an attended homebirth this time. When I asked my midwives what they do "standard" during a birth, it was very hands-off, and clearly said dh, I or them could catch, depending on what we wanted. So it is definitely still part of the equation for this birth.