After reading some of your posts and talking with those who reload (for rifle), I am planning to take the next leap of ARness
and load my 308 round for better accuracy = single stage press and measure/weigh every component.
Please post your experiences and recommendations for presses and dies. I am hoping to using my Dillon 308 dies, but I am sure many will advise using "better" dies.
Mahalo in advance for your sage advice! 
Honestly, for most of what you are probably going for a good set of dies (in good shape) in any single stage "O" shaped press with an accurate powder scale (not measure) will get you about as close as you may want. Desiring more accuracy you can buy more expensive dies but I doubt you'll see an increase in accuracy that would make the purchase worthwhile. Unless of course you are planning on bench rest shooting. In which case you may want to purchase a set of competition dies. You can try all sorts of things such as weighing components or measuring the volume of each case. Annealing is something I have not tried yet but Heavies has and I believe he said it helps.
In my experience I use Federal cases in .223 which are high in tolerance in consistent volume. But I intend to try weighing them one day to see if I can get better consistency. I use Federal primers (match primers) instead of their regular line. I use a powder known for consistency and use in .223 (H335 and Varget) but there may be better. I use a cheap RCBS Jr. press and standard RCBS dies and with my .223 bolt gun I get ragged one holes at 100yds.
What I found makes the most difference is the bullet itself. First, find the correct weight sweet spot. For instance my barrel twist is 9:1 so I shoot between 60-69gr bullets. I found 55gr bullets shoot well but won't one hole for me. I found Hornady bullets are just okay in my rifle. I have tried at least a dozen others including Barnes, Berger, Armscor, Speer, Nosler and Sierra in every weight imaginable. For the money the Sierra 63 and 65gr (Non Match, approx $15 and $17 per 100) bullets work great. Better are the Sierra 69gr Match Bullets ($18 per 100). But the best are the 64gr Berger Varmint Match Bullets ($28 per 100). The Sierra 69gr give me close to and sometimes one hole targets at 100yds. But the Bergers ALWAYS give me one hole targets at 100yds. If I weighed all my components (especially the cases) I might do a little better. Charges are always weighed. Could I do better with a better press, dies, scale and higher quality components? Possibly but not enough to make the added expense worthwhile.
With that said I also make plinking or blasting ammo. I use Hornady 55gr bulk packaged bullets at $8 per 100, regular (meaning cheap) primers and sometimes some left over powder I don't care for, and Lake City cases with different headstamped dates, plus I use my powder measure and I get 2" groups at 100yds. Federal XM193 Military Ball shoots 2" out of my gun. This is the ammo I use shoot at the distant metal targets (out to 440yds) at Kokohead.
Plus there is so much more you can do to change your accuracy like bullet seating depth.
My take/suggestion is unless you are going for a specific goal which is near perfection then your dies and press are probably good enough. Your gun and components and your meticulous preparation will make you happier and give you great results.