My favorite "carrying" Bible (English) right now is one I bought from Schuyler Publishers. It is a New American Standard, small, and light-weight. It has few added notes and no concordance, but I was looking for a "small, light-weight" Bible when I bought it because I am old and getting older. While it has a few maps in the back, I leave the notes and concordances up to my "at home" Bibles. They are necessary (for me) but hard for me to use.
The pages can handle my note-writing, but I have to be careful about what pens I can use in it to write notes. (I have tried using colored mechanical pencils, but within months, their writing fades badly. I have tried colored mechanical pens made for Bibles and am very unimpressed by them.) I use Pilot G-2 0.32 colored pens, never any other pen for me because all I have tried show through the pages.
Whenever I buy a new Bible, to decide what pens/pencils/highlighters to use in that Bible, I try them out on the last note page in that Bible. That not only helps me decide what to use, but it also leaves me a record of which utensils worked, which did not, and why by a quick mere glance.