Based on the cartridges mentioned, I'd venture that massive quantities of ammo are not needed, and a progressive press would not be needed. A turret press might be warranted, but their productivity is nullified if you reload in batch, and/or perform one or more operations off the press (trimming, priming, dumping powder, etc.).
Therefore, and particularly for a new reloader, I would recommend a single stage press. I have and like the Forster Co-Ax. It has a snap in, snap out, floating die retention system, universal shell holder, excellent spent primer handling and on-press priming (accurate, but tedious) and I prefer the over-the-top handle movement. Its design and construction makes for an extremely smooth, strong, and accurate press.
Other fine, more traditional presses include the Redding Big Boss II and UltraMag, and if you're on a tight budget, the Lee Classic Cast.
Andy