I have a newer Lee Classic cast iron breech lock press. It is single stage, not a very high price for the quality. I am a machinist and the Lee deluxe Pistol Dies for .45 and 9mm I have been using are outstanding quality and finish. The deluxe die sets have the carbide inserts that will not wear out, pretty much not affected by dirt (but clean your brass anyway). There is an extra Factory Crimp Die that sizes auto load cartridges to a standard size (so I don't use the crimp on the seat die). I use a Lee universal decapping die to remove primers from all brass since it doesn't size the brass and grind any dirt into range recovered brass. After the brass is clean, the other dies don't suffer any abuse so the carbide should last even longer/nicer finish. The breech lock is nice since you use adapters (Similar to Hornady lock-n-load but not compatible...different locking shapes) to hold each tool in a set position, and it takes only a 1/6 turn to change a tool out. When put back, a tool is already set (bullet seating will need to be checked and set if bullet shape/brand etc. is changed). This makes the single stage press a little easier to deal with initially. Otherwise you have to screw each die in and adust each time the die is used. The size, bell, and final size/crimp can usually stay set. Reloading is just done in batches where a number (25, 50, 100, etc.) where all the brass is (decapped and cleaned...my process), decapped/sized, belled, powder filled, bullet seated, factory size/crimp as separate operations. Of course for your accuracy loads, some different processes may apply...a reloading book is your friend and has all the details.
In contrast, Hornady was (is?) making their die inserts with TiN (Titanium Nitride) plating. A very tough coating used in industrial cutting tools. However, my experience is that TiN is often put over crappy tooling and results in a quick tool breakdown. With quality machine tooling, where a high quality carbide is coated with TiN, the tool lasts longer and takes more abuse. On crappy tooling (Chinese) where a lower quality base material is used, TiN is tossed on to cover up the base poor quality resulting is low usage before failure. Unfortunately, except for well recognized machinist tooling, cheap TiN coated stuff should get a weary critique. Not knowing the base material of Hornady dies, I would be concerned about using their dies...maybe they are OK...just my unfortunate experience of having tooling covered in TiN to disquise a poor tool...the price is often a giveaway...not so much in reloading dies.
Check to see if your auto press of choice has the option to disengage the auto part and be used as a single stage. That can make introduction easier, adapt to accuracy loads and later pump out higher volume when everything is figured out.