RCBS and Lyman sizers both use the same style of sizing dies and are completely interchangeable. Readings are different and also cost more money. All 3 use top punches, again Lyman and RCBS are interchangeable. Often I use a SWC 45 cal top punch on all flat nosed bullets this saves on the quantity you'll need to have on hand- there are hundreds of them. If you find a Star sizer, they push all the way through something like Lee and I use wadcutter punches on all diameters and push from the base of the bullet. Lastly, Lee sizer sets are OK, but you have to lube the bullets separately before sizing. And "Tumble Lubing" isn't always the correct option and pan lubing can be a pain on large quantities. Old lube-ra-sizers can be found at gun shows and rebuild kits are available from RCBS and Lyman. I have 2-RCBS, 2-Lyman, 1-Star and several Lee's. I won't get the Star out of storage for less than 2500 castings to be sized and I have a Lyman 4500 on the bench at all times set up with SPG black powder lube (It is good for smokeless also) usually with a .458 sizer in it. You'll find the you will need 2 or 3 sizers (dies) for most diameter bullets, 45 being the most .451, .452, .454, .455, .457, .458, and a few old guns want .459. 9mm/38 is almost as bad at .355, .356, .357 & .358.
Lube type or brand is important, so do a little research and testing. It can make a huge difference on the smokiness of your loads (which gets important indoors).
Years ago (in the 70's) Lee made a sizing kit of a pan and a die (you used a hammer to drive the bullet through) and a stick of lube I buy all of them I don't have, they are great for special projects.
When you cast you own, you control everything important: Alloy, size,and lube quality and quantity. When you figure it out it makes many areas of shooting go better. hope this helped. Ivan