I always said I’d keep my own name although it took me over 40 years to find a man I wanted to go as far as marrying.
Two of my kids have double-barrelled surnames but only one chooses to use it for non-official purposes, the other usually just goes by my surname as it’s a bit of a mouthful. We’re in the UK so the rules are pretty relaxed.
Iceland has an intriguing surname custom. Daughters use their father’s first name plus ‘dottir’ (daughter) and boys add ‘son’. Surnames don’t change by marriage.