First Chronicles 11 actually begins almost exactly as Second Samuel 5. Makes sense that Chronicles was written latter and gathering sources. Chronicles adds much more in the way of names. I remember a pastor once reading some list of names and asking us to imagine the “saints” of our churches we grew up in. The image really stuck.
The Deuteronomical authors give more details about the battle. And they both establish that right after David unifies the Kingdoms he conquers Jerusalem and kicks some Philistine butt.