I bought my first press a little over a year ago, after reading and studying the subject for several months. Buy and read at least one manual, and preferably two or more, cover to cover, at least a couple of times. Read and study the excellent information here, especially the stickies on equipment. The websites of some of the equipment manufacturers have some excellent information.
After doing all that myself, I ordered a Lee Classic Turret Press from Kempf Gun Shop. You can find them online. They offer a kit that is not the standard Lee kit, but includes the LCT press, the Lee disk powder dispenser (for which the upgrade to the Pro is inexpensive and desirable), on-press primer tool, and your choice of Lee die sets for the caliber you want to start with. They also throw in a couple of ammo boxes to get you started. Add a scale of your choice; the beam scale that Lee includes in their kit gets mixed reviews. With a place to mount it and your components, your are ready to start loading without having the bill jacked up by a bunch of extraneous stuff.
The LCT lets you watch and monitor each step, but allows you to keep your settings on each of your dies once you have them adjusted. To add a caliber, you only need to buy the die set and the turret plate. The turrets change out in just a minute or two and retain the die settings. Lee also makes an inexpensive box that allows you to store the turret and dies; I have one for each caliber that I load.
Like you, I only load handgun calibers. I can make a box in 20 minutes working at a leisurely, careful pace. Other folks report being faster, but I don't like to rush that or any other hobbies; I have hobbies to relax, after all.
You might choose another press and do fine, but the LCT is definitely worth considering for your purpose. It has been over a year and I am completely satisfied with my choice.