I used to use the RCBS, which is very similar to the Lyman, uses the same dies.
A few years ago I splurged on a Star. They will make up any dies you want. It is expensive, but when you are sizing 1000 slugs at a time it really kicks butt, can do them in a couple of hours. The best I used to be able to do with my RCBS was about 400 per night.
With the Star there is no top die, each bullet poops the one before it out the bottom. You just put in one, pull the handle, put in another one, pull the handle, etc. The other thing about the Star is it can fill the huge Big Lube lube groove in one shot. I used to have to run every bullet through the RCBS twice to squeeze out enough lube.