Visitors after baby

We live out of state from family and friends . Our parents ( the baby's grandparents) will be coming to our house for a week after baby is born , which is fine. However a lot of friends and distant relatives have also expressed they want to come and see baby as well around that time . How do we nicely ask hem to wait a little longer without sounding rude? We are kindnof embarressed to even ask them to wait until another time . But honeslty I am having a c section and I really do not feel like having any more house guests then we already will have ( our parents)