I want to go through the story as fast as possible so I can watch Shippuden. I watched some of it when I was a kid but I forgot almost everything. However, episode 26 shows the recap, so will I miss anything important if I start there?
Not necessarily, although you will miss the character building stuff and some content that may be referenced in the future, so make sure you atleast read the synopsis or summary of the episodes.
Nothing much. I skipped the first 15 episodes of Bleach and didn't miss anything. It's just some character building.