I have the Lyman turret but would buy the Lee Classic Turret today. I do case prep single stage style up to and including priming with a Lee tool (tumble, size/ decap, trim).
Then especially for handgun rounds I do what I call "semi- progressive" loading. It really speeds things up.
With the Lyman I have to rotate the turret for each function and I have to concentrate very carefully to keep things in order.
I have a Lee Proauto Disk powder dispenser and Lee thru the die case expander - 1 stroke with primed case.
Place bullet on charged case, rotate turret to seater die and seat bullet - stroke 2
Rotate turret and run round thru Lee Factory Crimp Die Stroke 3 - round complete.
The powder dispenser / case bell stroke really speeds things up and I have good accuracy with the Lee Proauto disk. Except the disk holes don't always dispense the amount of powder claimed by the tables - so I run about 10 charges into a primed case and check each on a scale, then select best cavity.
Then I check weigh about every 10th charge dropped depending on type of powder used. Fine ball powder like H110 I might check every 15th unless I'm at a near max load which I usually do single stage and check each on a scale. This check weighing slows things down but the safety is worth it. With some powders, the charge may change slightly as the amount of powder in the hopper decreases, so I'll top off the hopper as I go to keep things uniform - this is more common with the lighter fluffy powders like Unique than with 2400 or H110 /W296.
With the new auto index Lee press you could spare yourself the hassle of rotating the turret or accidentally getting things out of order. I've messed up and really pinched my fingers a couple times - or tried to seat a bullet with the expander die - again careful concentration is called for as I find it much more complicated than single stage loading. And there is the potential of an accidental double charge if using light charges. The auto advance Lee could prevent that - I have read that the index device wears rather quickly but the replacement part is cheap.
For my rifle rounds I still do them single stage and use my RCBS uniflow in a separate stand for charging cases.
I have 4 turrets I've picked up at sales but the Lyman turrets are EXPENSIVE and not real convenient to change - not hard to change but nowhere near as easy as the Lee.
And the Lee turrets are pretty cheap. Since I have more dies that turret space I still end up screwing and unscrewing dies pretty often. Keep my main dies set up in the turrets most of the time. I'd have a turret for each set with the Lee.
I have nearly dumped my Lyman several times for Lee just for convenience - but my wallet situation has so far discouraged the move. If I could unload my Lyman for a good price I'd do it. My Lyman turns out great ammo and is very strong. About 3 weeks ago I built some 300 win mag ammo that shot into .37 " at 100 yds and I can load 223 ammo that shoots .75 to 1.0 in my Ruger #1 - about the best the rifle can do.
I went to the Lyman when Midway had a great sale years ago, and I had just started loading the 9mm. Minimizing handling of those little 9mm cases was my motive and this system was definitely an improvement. I just don't load/shoot enough to go to full progressive. I try to do batches of 200 to 400 rounds at a time -forget the rate I can do - I think about 150-200 rounds / hr being careful. Tempting to try to rush but memory of those pinched fingers or other errors usually keep me in check.
Hope this helps.