Family in waiting room during labor

Help! I'm 33 Weeks btw! I've seen a lot of posts on here about couples wanting some alone time after the birth of their child. This is my husband and I's first baby and we are so excited. I spoke to my mom today and mentioned I did not want anyone at the hospital waiting while I was in labor. I'm not telling people they can't come visit I just want, or feel like i'm going to want, a couple hours to just be a little family of 3 before all of the chaos starts with family coming in and out. I'm thinking i'll want to relax and maybe shower/change before visitors are allowed.