There is no one
answer, it depends on your situation and goals. For example, might you need to separate your interest in the property? Not necessarily just due to a break-up, but due to other reasons like one partner has debts that you do not want to encumber entire property, or one partner has family members who they would like to pass their share on to. Similarly is there a reason, like Social Security, that one partner might not want to hold the entire property value in their name ? It would be worth paying a couple hundred dollars for a consultation with a licensed attorney in your jurisdiction before making a life-altering decision
Full disclosure, I am an attorney though real estate/property is not my focus.