After my son was born at home the midwives said he was too cold, and needed a hat.
It was a planned hb and I wasn't considering taking him outside for a while, so my poor old dh had to go up to the loft to find a baby hat. Sniggering all the time to himself about his new baby.
This was in the summer in south east England so I would say a hat.
I have never had a hb on my bed, I like my bed to be freshly made for baby and me to get into and snuggle. I gave birth in the living room and the spare bedroom. No mess, the midwives were amazing at getting rid of it, they will do that when you go for your first pee or shower or bath in your own home.
The midwives were grand. My dh sent a bouquet of flowers to them at their hospitals and one of them sent us a card back saying it had been a pleasure and a priviledge to see us have our baby.
For one of my hbs my mum spent the night in case our eldest woke up. She didn't, but my mum kept popping in to see how things were going, I completely understand that she couldn't be banished to a room in a small flat and listen without wanting to get involved, but she was putting me off my stroke. The other one I swear she sat listening to radio four in her car outside until she heard a baby cry, my eldest played with my middle one downstairs whilst I gave birth. It was so sweet when my dh took the baby downstairs and our middle one said, 'hello baby' they've been so close, and of course both my dc could visit me post natally at home in bed.
Another thing that is so...proud of where you live, snobby or proud of where you gave birth. My dc who was born in hospital has London on her passport as her place of birth, my hb dc have the exact location of their births.
Best wishes for you and your new baby