Rejecting meaning categorically seems strange, I don't think even most nihilists would agree. The fact that human communication seems to work means something is being exchanged when you, say, post a thread here and get responses that are relevant (at least informed by what you posted). If it's not meaning that we share through communication then what? "Information" obviously isn't a sufficient answer, we can exchange information without sharing whatever it is that makes communication useful (you could have posted a random string, people do from time to time, a string of the same length as your post would definitionally contain more information but less "something"(presumably meaning)).
If you mean you only reject privileged or "ultimate" meaning then you seem to need to find a reason why the appropriate move is to throw your hands up and settle at nihilism as opposed to other philosophical frameworks ala exestentialism that assume all the same facts but seem to offer us some actually useful insight into the human condition?
Basically this.
I guess what I would add is that you can reject "objective" meaning but that doesn't mean life is completely devoid of meaning. I have people who love me, and that definitely provides my life with some meaning.
One of the cool things about recognizing that there's no objective meaning is that you're finally free to experience life in a way that most of the population can't. First and foremost, most people have all these cultural assumptions they inherited as gospel truth and they basically struggle to find meaning within those narrow parameters. It doesn't mean that they're inherently less valuable or anything, but it definitely means that their autonomy is largely compromised. A lot of who they are was decided for them before they even graduated high school.
For example, I was an American combat soldier. It didn't take me long to realize that we were the bad guys in an imperial occupational force, so I accepted a medical discharge when it was offered to me instead of blasting brown people in a third world war zone for the sake of Halliburton's stock going up. Most of the other guys in my unit were born into a culture that assumes an unrealistic concept of American soldier hero worship, which puts them into a position where they're forced to wrestle with the realities of ugly imperialism and their own guilt thereof. In light of this falsely inherited promise, it basically makes people do mental gymnastics they typically aren't equipped for. It's not a surprise the soldier suicide rate is now higher than ever before.
That's just one example. Nihilism and Existentialism both recognize your freedom, but what you do with it is up to you. The way one philosopher put it is that your life is a unique work of art that only you have the privilege of experiencing firsthand.
I wasn't trying to come off as a dick earlier in my post, but typically when people talk about Nihilism they're usually younger guys who think they've come across some outstanding philosophical insight that justifies acting irresponsible. To be fair, I was the same way when I first became an atheist, but that makes me wary of it in other people. Your first impulse of freeing yourself from the bonds of ignorance and superstition is usually "I CAN DO WHATEVER I WANT," but being an adult is supposed to eventually take hold.