Here’s a very clear summary of using design elements in your compositions. The examples go really well with the words. Read this and start looking around in a different manner!
One comment about this might be, “but I look for moving subjects – how do I put design into that?” What I see in a couple of the example photos is the author found an interesting design feature and composed that, then waited until something happened in the scene that worked well with that design. Certainly takes more time than a snapshot but the results are significantly more rewarding.