This pretty well sums it up. I will add, I prime on my press for rifle loads even though I have a hand primer. So you don’t need a primer system right away. You also need some way to apply case lube. I like the pad style lube, but a lot use the spray style. I also use a cheap plastic Lee powder thrower (not the dial one). It just works. I have nicer more expensive rcbs, but use the Lee one more.You need a SINGLE stage press
Priming system
Dies and shell holders
Calipers
Bullet puller
Scale
Vibratory brass cleaner with media
Powder thrower
If loading bottle necked cases you need a brass trimmer and reamers.
Those are all requirements.
Dont waste money on a progressive or turret press they are a waste of precision.
For trimmers I use the Lee cheap ones. I think they are $7 for the cutter and a little more for the mandrel. They are also handy for wildcats as they are mild steel and can be easily turned on a lathe to adjust length. It’s also nice to throw one in each die box so all the pertinent equipment is on one place.
I used cheap presses (Lee and rcbs) for a lot of years and recently upgraded to a bigger Redding press. It is nice as it gives more leverage, but it doesn’t make any better ammo. I also have a couple progressive presses for pistol and shotshell. Definitely worth it to have progressive in those applications (high volume and straight wall).
You can pay for an inexpensive loading setup within a few boxes of ammo.