Dillon has a three die set (decap/sizer, seating, and crimp). The Lyman seems like it has what the Dillon three die set has, but it adds a hold down die. You'd get the hold down die with a caliber conversion kit. You are going to want a 9mm caliber conversion kit (P/N 14406).
The Lyman pro die set looks great with the micrometer adjustment feature. Dillon's would be carbide, but the Lyman's are stainless steel except for parts of the sizing die. I wouldn't think that would make a ton of difference in the long run, but I'm sure others would have a better idea than I would.