Try keeping a sketch pad for quick illustrations or perhaps a notebook for poems. The world is filled with inspiration! Not only will you be more present, but you'll be turning your seemingly humdrum life into a work of art!
I love that interpretation of jotting down information as creating a mindfulness work of art. What a thought! I used to do the cliche "note to self" with a voice recorder, that I've recently been desiring again. My cell phone is too slow to respond to my inspirations having to log in past the keycode, launch the app, dump mental information. Stepping through those hoops seems to decay my inspiration. You make me think about reverting back to old technology like the pen and paper. Come to think of it I get the sense that the mental decay from fishing for those materials in my pocket is less than futzing with a cell phone.
I just installed Microsoft OneNote to my Android phone and it added a quick launch app to my lockscreen much like how the camera can be launched while the phone is locked. I'll see how much mileage I get with this solution.
I actually carry a cheap USB wacom tablet around with my laptop for such purposes... I swear by it, it gives you almost the full freedom of paper without the restrictions of manual media (undo, scaling, duplication, restyling, etc.)
Writing on it is very natural/paper feeling, there's no erasing or anything. With the more expensive models, it can sync the notes to a computer/cloud service.
The way the screen works, it can only erase the whole screen in one go. I think with the cloud-connected ones, you can save the page off before erasing it and then view them later.