You can ask if you are allowed to have bub in recovery with you.. Plus if you like you don't have to have the grandparents or other visitors there,., Just ask that they stay away until they are called kwim?

I was seperated for about 2-3 hours each time (had 3 sections) I was happy for grandparents to be there though but Dh got sometime alone with each of the babies as the older kids were being watched by the grandparents..