I personally read the gospels first, then started at the beginning (genesis). Chronicles is a but monotonus, but can be interesting if you have some historical knowledge to begin with.
All those stories you heard about as a kid, those are in genesis, Joshua and judges. Samuel and Kings is mostly about David and Soloman.
If you have a background in Austrian Economics, the book of judges is amazing.
Be aware, whenever you run across a verse that is confusing, or people make a big deal about it because its "so deep" (particularly in the new testament) its usually because it wasn't translated well. The best resource I've found to help with "understanding the profound" is a bible app with Stong's Greek cross reference so you can get all the potential original meanings behind the word (like Bible Study on F-droid) It unlocked all the BS and "deep" passages usually turn out to be not much more than common sense.