The kit you got isn't enough for 33" tires. 31" tires is the limit and not rubbing or at least not rubbing badly. You would need one of the lifts mentioned above for 33" tires to fit. Keep in mind, the 4" suspension lift can cause reliability issues with your front drive shaft. There is products out there to address that but even then, it can still be an issue. Note that I'm saying CAN and not WILL. But you need to go in knowing the info up front just in case you end up having issues.
The benefit of the suspension lift is it will give you more ground clearance compared to stock but by nature of the torsion bar design, not as good as a TTB would. The rear axle clearance will not change since it is just blocks lifting the truck. The front uses drop brackets and knuckles to create the lift. The drop brackets lower some items like the Torsion bar mounts and lower control arm mounts in order to make the system work. The angle front drive shaft increases from the lift and that is what causes the reliability and wear issues.
A body lift is cheaper but creates big gaps between the body and the frame, which can be undesirable as far as looks. Also, some items may need to be lengthened to prevent binding and allow them to operate properly like the parking/emergency brake cable and brake hoses.