A couple things I have learned, both from my own experience with my first and from working alongside L&D...
1) I would actually recommend talking to family and friends about visiting before the big day. We told our family that we didn't want visitors until we said we were ready. Absolutely no one while I was in labor, that time was for my husband and me, our last moments as a couple before becoming a family. And you absolutely deserve those first "moments" with your new baby to be as long as you want them to be. You will need rest! People can visit you once your home.
Also talk to the hospital staff too, they are SO used to being the "bad guy" - it's part of our job! Just tell them that if anyone comes, you are not up for visitors, or give them specific names, or times, whatever you want.
2) Tell the nurses what you want to participate in or know about. My biggest disappointment was that they gave my son a bath and neither of us got to be there. It still breaks my heart to think about, for some reason it was just something I wanted to do. Don't feel obligated to do that particular task; for me, it was just one of those things that I wanted myself or DH to be present for. I am used to newborn baths, and I guess I just wanted to do that for my baby. But it goes with anything. You deserve to know what's going on.
3) DON'T feel bad about having them take the baby so you can sleep! I tried so hard the second night to keep him, but that second night is a nightmare! He screamed and screamed, and I was so exhausted. Nurses can handle those little screamers - they actually like having a chance to keep the babies for a while. If you need the rest, just ask them for a break.