I debated quite a long while about changing the surname, it actually pushed back my starting my name change process for months. But, finally, kept my surname, my father's not going to get a genetic child out of me, so at least he should get that.
Some people said it helps to be more stealth to change it. But, nowaday, its almost impossible to really be stealth. My name change when it happens will be published in searchable public records. A person just needs to know where I come from, not hard with the slight french accent even when I speak in english and go for it. Anyway, I said to myself that I didn't care to hide from the dumbasses who'd spend that much of their time to find my past, its too much to sacrifice for so very little payback. So, I decided to keep the surname, a french canadian one (first ancestor under a variation of that name came to Canada in 1690 (the name has 10 spelling all originating from this original ancestor's name)).
Even if I marry (It seems such a remote possibility for now!!), I will keep my surname. I'm kind of a feminist on that issue.