How to let family meet LO when born...

The only option that is not an option is not letting anyone come to the hospital. Families have already made it very clear how they want to know when he arrives & I want them to know as well. I have expressed to them however no one is welcome I'm the delivery room & we will allow visitors only after DH & I have had a chance to bond & felt like we had our time with LO. There hadn't been a set time limit on that could be next day & they know that.

Problem is this. I want to give each family unit their time to meet LO without 20 other people & extended family in the room. My family is simple, it will be my parents & 2 siblings probably. But my mom has requested that had be the first to hold LO bc she is the only 1st time grandparent.

The plan was to allow them to meet & then have next family set come in, which is where the issue is. DH mom is remarried & so is his dad, both step parents are close & have been part of DHs life for 20 years or so. DH mom.has 3 grands, & DH dad has step brands but DH is his only child by birth & this is our first baby. So technically my mom isn't the only first time grandparent. I just said uh huh to her but I didn't say no bc I wasn't thinking it through all the way. An hour for each family seemed like a fair split to me, but who goes first? What is fair? I really can't find a good solution other than letting all grandparent in at once, I just feel like it could get crowded and loud & overwhelming for me let alone LO. Suggestions appreciated.