How did you conquer date night after having a kid?

My SO and I have a 9 month old daughter, and I work from home while he works in a warehouse, I work from home and handle the house and take care of our daughter. I made the comment a little while ago that we need to have a night where we can go out and have a little break from the baby. He said “yea if we had anyone to watch her”. I told him my mother would, in fact she’s been dying to watch her granddaughter and his response was “that’s a good joke I’ll stay home with the baby and you and *friend* can go out clubbing because I’m sure you’d love to”. I told him that wasn’t my point…I understand he has trauma from being left with his older brother and uncles and got physically abused but I DON’T understand why no one can watch our daughter except for his fucking mommy. I don’t think it’s fair and it’s honestly really putting a strain on our relationship because his mother works weekends so the only time we have to go out out, she works so she can’t babysit. It’s really starting to hurt my feelings that he has such lack of faith in my mother or anyone on my side of the family that has offered to watch her so we can go out on a date. I’m irritated, I’m hurt, I’m angry, I don’t know how to handle my emotions about this.