IF you have a Lyman trimmer, they also make a compatable primer pocket reamer tool to use on that tool. It's a good tool, I prefer it to any pocket swager.
Ref. "do you need a single stage press" question, it largely depends on what you will loading in it and the degree of care you expect to use. For most people and most ammo, any turret will do about as well as a single stage.
IF you have a really accurate rifle, say less than perhaps 3/4" groups consistantly, and IF you want to squeeze the last possible few thousants off those groups, a single stage press MAY help.
Why? Well, it takes consistancy to make the most consistant ammo. You want to size each case exactly the same, seat each bullet exactly the same. That requires the least possible springing in the press and its various parts. With screw-in dies and common presses we are stuck with the sloppy fitted (relitively so) lever-to-toggle link-to ram pins. A turret just adds the slop inherent in any rotating top, some slop has to be there or the turret won't turn! Each point of slop comes into play since it takes more pressure to size harder cases than soft, so harder cases are likely to be sized just a tad less than soft. Then, some case necks are a tad harder than others, so it takes a bit more pressure to seat the bullets and compressing the linkages means those bullets will be seated a tad less deeply.
But, even in a totally slop-free press, if your sizer die does not produce consistantly straight necks you're lost anyway. Or, if the seater die has enough slop/slack in the bullet guide portion or its seating plug is poorly fitted or slightly off center, your bullets will be slightly tilted in the cases and accuracy will suffer a little. Neither brand nor cost of a tool is any assurance of absolute dependability either. In my experience, there is as much or more variation between individual dies from the same maker as there is between dies of different brands, from Lee to Redding. Sadly, there is no magic brand or price that can assure you that you are buying the "best" of any individual tool. Yeah, high price dies do seem to be somewhat better on average, but if your tool lies outside the good average you have spent big money for no gain!
So, it really takes a quality rifle, a quality press and some very well fitted dies plus really good technique from YOU to make a significant difference. If any of those four are lacking the other three won't matter much. A turret will likely do just as well as a perfect single stage press.
I have an old Lyman turret press and it's a good one. But, I finally gave up on it for demanding work. I got an RCBS Rock Chucker for my precision rifle loading just to eliminate some of the press springyness. It's okay but it's not perfect either.
That said, I find the Lee Collet Neck Sizer dies to produce very straight necks and both Redding and Forster BR/Competition seaters to be very reliable. But, if I had to replace my RC press tomorrow, it would be with the new Lee Classic Cast (iron) press. I think it's stronger, the ram is larger, it has an adjustable lever, the spent primer catcher seems to work and it's made in the USA! And, I hear that at Graff and Sons it's on sale for about $40 now, that's a LOT less expensive than the new RC press! That might save you enough to buy a pretty good set of Lee Collet or Forster or Redding Competition dies!