I finished BotW 100%, and am currently nearing 100% completion with TotK. Here’s what I would do if I were you.

Get the BotW demo. It’s free, and it contains the entire first portion of the game, the Great Plateau.

Play that, and when you’re finished, read the story synopsis on Wikipedia or wherever. Then acquire and play through TotK.

The Great Plateau gives you about 80% or 90% of what’s great about BotW in a tight, controlled package. If you’ve played Metal Gear Solid V, this is basically Ground Zeroes.

TotK is so amped up over BotW that there’s no “tutorial inside area” that showcases the mechanics of the full game, it’d basically be a carbon copy of the entire thing.

In terms of gameplay, this should give you something pretty close to the full experience.