Do you LIKE his name? Do you like your name? does his start with a higher letter in the alphabet? (A's win, Z's lose)
It's up to you.
If your name is Fern Green and you want to be Fern Montgomery; go for it.

You know? But if you're the last Abergrotty in a long line of Abergrottys and his name is Jones, keep your name.

And if he's ambivalent, that means it's up to you.