Reddit mentions of Hornady 85003 Lock N Load Classic Reloading Press Kit, Red

I have a Hornady Lock n load kit and I have put my loads against FGMM and can't tell the difference (both are sub 0.75 MOA).

If you can afford it, get the upgraded kit with the automatic powder dispenser. It will save you a lot of work.

Buy about 5 of the shell holders. You will need one in just about every tool.

Get their match grade seating die. If you get their match grade sizing die, you will need to buy a bunch of collets that aren't included and then pay extraordinary attention to the thickness of your case necks (not worth it to me). I use a cheaper sizing/depriming die.

Get the Hornady Overall Length Guage, and figure out your rifle's seating depth.

Get a dry case tumbler and Walnut media, better case lube than the Hornady One Stuck® crap they include.

Get case trimming tools.

Then you are set.

I prefer Hornady equipment over RCBS, but to each their own. (Hornady has a basic kit too, https://www.amazon.com/Hornady-85003-Classic-Reloading-Press/dp/B000PD9YTU )
When I reload rifle rounds, I do the following:
Resize and de-prime all the brass (only use neck sizing die for bolt guns, and then only use those rounds in the same gun. For gas guns I use small base dies so there are no feeding problems). Since you have to lube rifle cases to resize them, next is:
Tumble all the cases in a vibratory tumbler (removes the lube and cleans them up) I usually use corn cob, sometimes ground walnut shells.
Next I prime all the cases (you can clean the primer pockets but it's not absolutely necessary -- tumbling helps clean them up a bit)
Then, one at a time, I drop the powder and seat the bullet. If you do them one at a time you never have to worry about squib loads or double powder drops.

Trimming cartridges to length, I seldom do that, cuz they don't grow a hell of a lot, especially if you only neck size. After 4 or 5 reloads the cartridge necks can start to split anyways (necks get work hardened by repeated firings) and you have to chuck them out. You can try to re-anneal the case necks to get more reloads, but imo it's not worth the bother.

There are other steps for precision reloading, like turning all the necks to a consistent thickness, but not necessary for beginning reloading.

Reloading is very safe. You're much more at risk when you get in your car and drive on public roads.

I reload rifle rounds for precision results (huge variety of powders and bullets to choose from -- and you control all the components). I reload pistol rounds on a progressive press to save money. (Not a good enuf pistol shot to worry about accuracy.)

https://www.amazon.com/gp/aw/d/B000PD9YTU/ref=mp_s_a_1_1/161-7746113-7471761?ie=UTF8&qid=1486020426&sr=8-1&pi=AC_SX236_SY340_QL65&keywords=hornady+lock+n+load+kit&dpPl=1&dpID=41jGccJxK9L&ref=plSrch

As /u/IMR800X stated, I'd get away from the spring loaded dies and get a single stage bench mounted press. Buy once, cry once. Any decent single stage press will last you decades of use. So with that being said I'd recommend either the Lee 50th anniversary or Hornady Single Stage kits. Both come with a lot of nice extras that you have on your wish list. The Lee press is about $100 cheaper and the press is solid and reliable, but I like the Hornady bushing system better for quick die changes. The Hornady kit does come with the reloading manual, a digital scale, and a bit of case lube which is a nice upgrade over the Lee. Either way you will still need to buy calipers, a bullet puller, and a set of dies.

You can buy the Hornady Lock-N-Load Classic Kit on Amazon for $30 cheaper and get free shipping (another $18 off). That makes your setup only $74 more or $21 less if you factor in the free bullets.