I agree with asking the visitors to wait until you are ready. I had the c/section on a Wednesday and didn't have any visitors til the Friday, other than my mum to bring DD1 in.
Definately get up and moving ASAP and when you do, try to stand straight and tall. Painful at first but it helps in the long run. I also had a contingency plan JIC something occured during the surgery that would mean I was unable to hold bubs - no one other than DH would be able to hold her until I was able to. That was very important to me as I didn't want half a dozen people holding my baby before I did.
Find out if you will be able to have skin to skin with bubs in recovery. If you can't, do it as soon as you are able. Your milk can take a bit longer to come in after a C/S.

All the best