When you die, there are two possible outcomes: "you" can either be nothing, or "you" can not be nothing. I think this has to be the letter for the same reason why the universe itself exists: if the alternative was true, or if the universe didn't exist -- there would be nothing to compare it to. So it has to exist simply because it can't not exist. Same with "you."
-----
Here's another way I've thought about the subject: given all the possibilities of everything that can happen in the universe, the odds of you existing -- with the exact neurological configuration needed to produce your specific conscious -- are so incredibly low. However, that you exist at all isn't all that special. Think of someone asking you what the odds are that one random person is in Anchorage. Those odds would be really low because that person could be literally anywhere else in the world as well, such as NYC or London or Amsterdam, you get the idea. However, if you find out that person is in fact located in Anchorage, you wouldn't think of that being all that significant.
This is how I think about what happens to "you" after death. Maybe the odds of a neurological network containing your "ingredients" for conscious are indeed rare, but their formation is nothing extraordinary. Thus, you should expect such a formation to occur sometime after you die, just like how you would eventually correctly guess a random person to live in Anchorage.
On the other hand, an unsettling thought of mine is that maybe what I've described implies that we constantly relive the lives we have been living because these particular conditions are what most favor our particular brain formation needed for our conscious. Perhaps you have lived this life countless times before, and will continue to live it countless times in the future..
tl;dr -- live your life as if you'll have to relive it again (maybe?).