I think it depends on the relationship you have with all the grandparents to be / various siblings etc.... It's a bit mean not to let anyone see a new addition into the family in the first week, I mean how often does one get to coo over a newborn baby, especially a granchild/niece/nephew?
If they are the type of people to roll up and expect to be treated as guests, then they should get themselves booked into a hotel and come around for coffee on a couple of days- at times you agree to on that same day, depending on how you are feeling etc....
If they are like my own parents, and parents-in-law, and will take over all the washing up, cooking, ironing, not be a nuisance and in fact be very helpful, then what's the problem? All you will have to do is sit back, be brought cups of tea, and be able to stare adoringly at your new baby- and hope the little cherub sleeps as much as possible!!!
Don't encourage visits by people who will just add to your stress and tiredness. For example, my sister came to stay 2 weeks after the birth of DS2. She did NOTHING to help, left cups, plates, stuff, all over the house, slept in til sometimes 11 in the morning, and drove my DH up the wall because of it. He just could not understand why someone would not be able to get up and offer to do something, when I/we were clearly exhausted and emotional.
Bizarre thing was, she got back to the UK, and when she saw my Dad she said "oh, poor her, she has got so much on her plate, however does she manage?" (!!!!!) So, she noticed,.... but still did not chip in?? Odd.