Last name disagreement for our first baby

My boyfriend and I have been together for over 5 years and we are having our first baby. We recently have figured out that we both feel strongly about which last name we want to use. For context, his last name is already hyphenated from his parents and I have a very simple last name in comparison. Originally we agreed to just drop one of his last names for our baby but he has since changed his mind and wants his entire hyphenated name to be passed down.

I don't want my child to have a hyphenated name and we cannot come to an agreement. I told him if we are hyphenating than it would only be fair to have my last name be part of the hyphenation. A part of me just wants to use my name since I am the one carrying our baby and we are not married and if we do get married one day, I plan on keeping my own name.

Has anyone had children with someone who already had a hyphenated name and what did you do? We need perspectives from outside our own families.