My [26F] parents [60sM/F] hate my husband [32M], I'm pregnant and they want to see the baby in the hospital without him there.

My parents have never liked my husband. At first it was our age difference- I was only 18 when we met and they thought he was too old for me. They've since decided he's controlling (he isn't) and have accused me of being too dependent on him (none of their business). My parents were extremely protective and controlling over me and I believe "losing" me to my husband was almost traumatic for them.
I love my husband and I'm happy with our relationship. He's really good to me and I have no major complaints. I've tried explaining this to my family but they obviously don't believe me. I've accepted they're never going to like him and most of my time with my family is spent without my husband (at their request).
I'm pregnant with our first baby (due in November) and my mother recently made it clear she expects to see the baby in the hospital without my husband around. She brought it up in May/June, then again at our 4th of July party, and again at my cousin's baby shower last month. I managed to brush her off or change the subject each time until she called me last week basically demanding my plan for the hospital. I asked her what she was talking about and she said she needed to know when she, my father, and a few other relatives could plan to visit (without my husband there). I told her I wasn't going to kick him out of the hospital after his daughter's birth and she started crying. She accused me of shutting her out and started talking about how she's not going to know her granddaughter then hung up on me when I tried to respond. My dad texted me later that night saying he was disappointed in me and didn't think a small compromise after the baby is born is asking too much.
I hate that my family feels like they're being pushed away. I'm really excited to have this baby and I would love to share this experience with them but I'm not comfortable excluding my husband. I don't think it's fair to ask him to leave or step away at any time after the birth. How should I talk to my family about this? Should I consider asking my husband to leave?

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tl;dr: My parents have never liked my husband. I've managed this by spending time with them without my husband but that isn't going to work when our daughter is born. My parents expect me to arrange time for them to see the baby in the hospital following her birth (without him present). They think this is totally reasonable and they're making me feel guilty for refusing to ask my husband to give them "space" with his newborn baby.


Source.