Hi, I'm so so sorry you're having to go through this. It really is such a heartbreaking time to have to cope with
My situation was slightly different to yours, in that I was induced early when we found out our daughter had edwards syndrome. We were told if she survived the labour we'd only probably get a few hours with her. As it turned out she passed away sometime during labour.
I was given an oral pill to take a couple of days before going in and then once admitted was given a pessary every 3 or 4 hours. I was given a room at a quiet end of the ward, so felt like I was away from other mums giving birth. The staff were all wonderful. I had two lovely midwives, one took over when the other's shift ended and then the first one came back again just as I was giving birth. I was also told I could have whatever pain relief I needed and was given anti sickness injections because I was sick a few times. My partner was allowed to stay with me the whole time. He was given meals and they put a bed up for him next to me over night. My mum was allowed to visit whenever I wanted her there too.
After giving birth we held our daughter and named her. A lady came in and gave us a memory box, helped us take hand and foot prints and the hospital had a camera so we could take as many photos as we wanted. My daughter was born around 8am and we stayed at the hospital till around 10-30pm. It was by far the hardest thing ever leaving her, but I knew we couldn't stay with her forever.
Our local hospital didn't offer any cremation service, so we used a local firm that we knew. They were also wonderful. We were able to go visit her at their chapel of rest. She had a beautiful white casket with a pink lining. We decided to go to the crematorium and while we didn't have a service as such, we chose to play some music. Once we'd received her ashes back I had planned on scattering them somewhere nice, but I don't feel like I can let her go just yet.
Don't worry about feeling strong. I didn't feel strong at all, but just tried to take each step at a time and cope as best I could. Even though it seems like such an awful thing to have to do, I do really cherish that time now.
I too really struggled with the thought of having to tell people what had happened and like you didn't want to leave the house in case anybody asked me. Have you got anybody that could tell people what has happened, so you don't have to? My mum was really great and made all the phone calls, so I didn't have to explain to anybody - there was no way I could have done that at the time.
I will be thinking about you for monday and really hope everything goes ok

x