Foremost I too would check your local laws, you are not in the most gun friendly state. The three rounds you mentioned being rifle rounds, I would strongly suggest a Single stage or turret press. I load 13 different rounds, most are done on a single stag press, I do how ever own the Hornady LNL auto progressive, I only load three calibers with it. 9MM, 40 S&W and 45ACP, all three are pistol rounds that I shoot thousands of rounds of a year.
Auto progressive presses, are great for pistol rounds, but I like having more control over my rifle round, than you get with either the Hornady or Dillon Auto progressive presses.
If you I would pick up a copy of Lyman 49th or the Lee modern Reloading manual. Both will try to sell you on there equipment, don’t buy into the hype.
But read the manuals getting started section, and then think about what you want to do with the equipment you buy.