You might try "Notes from Underground" by Dostoevsky first, which is much shorter, just to get a taste of his characters and writing style. If you like that, go on to "Crime and Punishment", and then read "The Brothers Karamazov" last.

I saw a dust jacket quote that said something like, "Dostoevsky writes about the unconscious as though it were conscious". When I started reading his books, I felt like he naturally reveals his character's psychology through dialogue (both inner and intrapersonal). They are surprisingly relatable. They have quirks and insecurities, can be hot-headed one minute and fearful the next. "Do you know what it means to demand when you are only in a position to implore?" asks one protagonist. They struggle with big questions, their motivations are laid bare, and they endear empathy as would a self-destructive family member. Dostoevsky may not write inspired literature, but he has something important to say, and he says it from his uniquely Russian soul.

Well, I mean, "reading something else" has been what I've opted to do thus far, hence why I've only gotten about 30 pages in, but I've found that sometimes when I force myself to actually one of these "certified classics" I end up feeling glad I did. That's how I felt about Crime and Punishment, for example.

Highly recommend the 2016 tv series of war and peace starting Paul Dano.

Sometimes the movie can be better than the book, especially if the book is a dense classic.