I said just me, but actually, one of my cousins considered the possibility at one point. And another cousin is open to it. Honestly, multiple cousins might believe in it for all I know. However, cousins were not on the list. None of my uncles, aunts, parents, nor grandparents ever believed to my knowledge. The one sibling I am in contact with doesn't believe, nor does my other older sibling whom I've not seen in some time. At least she didn't when we last spoke. I don't know about my younger sibling, but she is being raised by two people who will teach her it is not true, and who will stress the importance of not believing it.
Some of my cousins who don't believe in it like to engage in fantasy play about "what if" and we've analyzed their birthmarks and traits, etc. for fun, but they don't take it seriously. Most of the people I know, and the vast majority of my kin folk that I talk to- and many that I don't talk to (if not the vast majority of them)- are not open to the possibility. However, I'm not completely alone. I have had and do have friends who believe, but even the majority of them do not.
I did not believe as a kid. I had a dream that I was someone else and that I died, but I am still not sure that I believe that old dream. It stuck with me, but at the time, reincarnation never crossed my mind. My family was STRONGLY against such beliefs, and we were taught to be afraid of questioning. Plus, I didn't really remember living before, and my relatives and friends at that time, had never claimed they did, either.
I guess part of the reason I am open to it and they are not, is because they are so afraid to question what they are taught, that they never do. They were told questioning is dangerous. That it can condemn one to the most horrible of fates......and that one top of that punishment, everyone will also flip out on you, if you ever admit you questioned, and you'll have problems in this life and in the afterlife. So, don't question. I was afraid to question, too, but eventually I did. I am open to almost any afterlife possibilities, including reincarnation. I think there is some evidence for reincarnation, but I don't know what happens after this. I just find reincarnation a fascinating possibility, and I really want to discuss it with other open minded people.