I had my mum and DH with me in the while i was in labour but everyone else was under strict instructions not to come near the hospital until they got a call from us saying it was ok. I ended up leaving 20 hours after my 2nd daughter was born to avoid having people come and see me in the hospital!! (With DD1 my MIL showed up the morning after she was born and pretty much refused to leave meaning I got no rest at all).
Everyone is different but I didn't want to see anyone except for my immediate family (mum, sisters, DH and my babies) for a good while after both births.