The New York Times regularly does this really well on the Upshot. They have a story to tell and the charts are an integral part of that story. The charts can be interactive, sometimes with some slight filtering, but just enough to still stay on point. Nobody wants to get lost in a quagmire of extraneous filters that ultimately don't help to understand the story.
It pains me to say this, but most people don't care about your app as much as you do. People have other things to do. When you are sharing curated knowledge with others you need to get to the point as fast as possible. You shouldn't use the app you used to explore the data to present the data. If they want to explore more you can always share with them the app you used to do your initial data analysis.
So whether you are embedding charts in a blog or giving a presentation, stay focused on simplicity. Show the charts and the numbers that tell the story. Use the charts to move your audience through the story to drive home the result of your data analysis.