Eternalists have the same fears, anxieties and discomforts as everyone else. It's the price of conscious existence. It's the price of being an eternal researcher, an eternal scientist. Once you're locked in, your work is waiting.
But some things are easy.
As an Eternalist, the first thing that you will have to learn is how to comfort yourself from the angst felt when thinking of the inevitability of death.
Entropy is a part of nature, so it's not death and it's not an abyss.
The funny thing about what I write to you is that the moment after you think about it. You doubt it first, then . . . , here we are.