I would personally say from my own experience to have people come to the hospital. I had an emergency c-section and just wanted to rest and take care of my beautiful DD who just cried from the time she woke to the time she fell asleep in the first month after she was born. After I had my DD I was filled with pure love and on a high but also sore so I much preferred having everyone come to the hospital than come to the house after a week or two when the sleep deprivation really kicked in and I was in no mood to make coffee's for myself let alone for anyone else. DH ended up running around making coffee and putting out biscuits when people came over. To be honest, even though people meant well and came after a week or two because they wanted us to "get settled first", I kind of resented the people that came over because this was the hardest time for me.
In the hospital you don't have that pressure, if people are hungry or thirsty they can help themselves to the snack machine or go the cafeteria. After everyone leaves you have the nurses on hand to help you with baby if she/he gets overstimulated. Luckily DD slept he whole time I had visitors in hospital, but not when they came over to the house though. Next time I'll ask that if people prefer to visit me at home after we have "settled in" that they come after 3 months because it's only just now that some sort of normality has started to resume.
Good luck with whatever decision you make xx