As
@LordWayback stated above, get it checked out by a local quality repair shop, just to see if there are any suspension-related issues (particularly bushings and links conditions) that exist that can be identified and repaired/replaced.
If everything checks out as OK, consider purchasing a set of Hellwig sway bars for your truck. They are pricey, but they will eliminate any and all body roll.
Many folks on this Forum have lowered their trucks, and they will chime in regarding handling characteristics changes after lowering the truck.