I'm reading 1 and 2 Samuel right now and Psalm at the same time. When David entered the picture in 1 Samuel, I decided to start reading Psalm along side. I am really glad I did! When reading at the same time, it feels like Psalm is the behind the scenes journal that David writes as he goes along on his quest toward becoming king. I'm only 21 chapters into Psalm, but it really helps to enhance chapters of Psalm that otherwise wouldn't have been understood the same.
This was an observation that I made that seemed very fitting to share with everyone else. If you're looking for somewhere to read in the Bible and haven't done so already, give it a try.