Start by getting a good reloading handbook. The Lee manual is one of the most comprehensive, but most manuals will have instructions that are at least adequate. I recommend getting the manual first, and getting the equipment and components after you have throroughly read the manual.
Your choices of presses are Hand, Single Stage, Turret and Progressive. That is also the order of complexity, capability and cost. You have to make your own decision on presses, but in general a turret press is really nice, a progressive a bit complex for a beginner. A hand press can be used for learning, and later when you decide you want more capability, the hand press can be used for reloading at the range when working up loads.
Dies are a matter of preference -- I mostly buy Lees and find they work very well. For the cartridges you intend to reload, get carbide dies -- they last longer, and you don't have to lubricate cases.
While you will eventually need a scale, Lee dies come with a dipper that will be safe for measuring out the appropriate powders (but won't give you a max load.)
You can prime cases on the press, but most people like to use a separate priming device -- the Lee Autoprime II is cheap and works very well.
By the way -- I'm also a piper.