Excluding someone from delivery room

Nicole • https://www.facebook.com/JustysBoutique/
Sorry if this is long... 
How do I tell my dad I don't want him in my delivery room without sounding like a complete bitch? 
A little background: 
He's not my biological father but has been in my life since I was 3. Him and I have bumped heads since I was old enough to understand how big of an ass hole he is. My mom and I are really close, most of the time it's like I've grown up in a single parent household. I'm 20, this is my first baby going to be a single mom so still living with my parents. 
Although I'm 20, I have a job, a car, about to graduate college and will be able to jump into my career right after the baby. I don't ask my parents for anything. So far, I've bought everything I've needed for the baby and to prepare for her. (I've yet to have my baby shower.) If I'm ever in need of money I've never asked them, I'll sell the clothes on my back before I ask for handouts. 
When I first told my parents I was pregnant my dad was more excited than my mom and I initially said he could be in the delivery room. 
Well,  for the last couple weeks Ive wanted nothing more than to punch him in the throat. I've instantly regretted telling him he can be in my delivery room. He continuously makes comments to my mom about me and the baby. He thinks I'm going to pawn my kid off for them to raise and take care of. Financially and physically.  EVEN THOUGH I've never once given them a reason to think so. I'm highly independent, mature and take care of myself other than I don't live on my own. 
In a few words he told me I'm going to be a single mother, so I should struggle like one. 
Today he set me off when my mom found a really good deal on diapers and had coupons. So she came with me to the store to get them. He threw a fit because he thought she was paying for them. Which she didn't, I bought them! 
He's acts like my baby is going to be such a burden. He's rude, and always has something shitty or negative to say but wants to be in my delivery room? No thanks!  
I don't want to share one of the greatest moments of my life with him...  but I don't know how to go about that without being a total bitch. Because at this point I'm about to hurt his feelings!