I use Redding FL dies with the bullet seater set back for no taper crimp but I use a Lee FCD to put a good crimp on the M193 cannelured Lake City bullets I reload.
Lee, RCBS, Hornady, etc FL resize dies will ALL work just fine for AR15 uses. I use a mil-spec 5.56 NATO chamber in my BCM upper on my AR15 and the cases are resized just fine for it.
Honest opinion:
Get a Lee, RCBS, Hornady, Redding, whatever Full Length resize die but then make sure you buy a Hornady lock ring because RCBS, Lee, and Redding use
HORRIBLE locking rings. Hornady makes the best locking rings PERIOD.
Cheap combo "that'll do, pig":
[1]
Lee Pacesetter 3-Die Set 223 Remington
[3]
Hornady Sure-Loc Die Locking Ring 7/8"-14 Thread
For the seating die you may want to pay attention. Some people will complain about the specs of each seater and how some bullets will not seat well or may get stuck between the seater mouth and the wall of the seater die.
Generally, just buy the Lee pacesetter die set and hornady lock rings. It works great in progressives or whatever you're using.