The original LEE, 3-hole Turret Press!
If I were starting out today, I'd probably go for the 4-hole, but it's not worth switching now.
Like Brian, my experience started at my Dad's bench well over fifty years ago. He had a Lyman Comet, another brutish single-stage I forget the name of and three or four Tru-Line Jrs. I've also used a lot of other presses belongingto others while helping them get stafrted or work out some kind of bug. MAYBE, the Tru-Line Jrs. influenced my ultimate choice more, but a fine gentleman who owned a gun shop in Salinas steered me right when I was 2000+ miles from Dad's bench and on my own. Kim was that fine fellow's name, and I believe
@462 knows who I'm talking about.
I was stationed at the Presidio of Monterey, young buck sergeant, with an emphasis on young - and not making a lot of money, living in an apartment. I went into Kim's shop looking for a Lyman or RCBS press, cast-iron. I had just paid $17 for my first and LAST box of factory 44 Special and had to do something about it. Kim very deftly turned me in another direction and sold me on that LEE press, ostensibly for economy's sake, rationalizing that I could always upgrade later. $48 for that press. That allowed me to buy an RCBS reloaidng kit with a 505 scale, Uniflow measure, deburring tool, Speer manual and various other small peripherals, PLUS a pound of Unique, 500 commercially cast bullets and some primers for not much over $100.
Long story short, that was in '82 and about '90 or so I "upgraded" to a big-name, cast-iron press. After about a year, I ditched it and went back to the LEE, three-hole Turret Press. Low-mass, low-inertia, smooth, operation is effortless, great clearance and the turrets are compact and allow me to have sets of dies all set up and ready to go. If I start to seat a bullet and realize I missed one during flaring, I can twist the turret 120 degrees, flare, twist back and get back to seating. It's no different than working on a single-stage except for that and that I don't have to set each die each time I load a given cartridge.
If I had to, I could dismount that press, tape a piece of cardboard on the bottom and reload by holding it against a bench with my off hand - just like I did when living in apartments in the military. That brings me to the ONE flaw I see in this press, which is spent primers, which accumulate to the point that you eventually have to dismount the press to empty the reservoir. Problem solved - I recently mounted it to a 1" thick piece of PVC sheet and have a threaded coupler/plug I will cement in place on the bottom when I get a few spare minutes.
I'm down to FIVE dies sets now, meaning five loaded turrets and a couple with various other dies, like the flaring die and universal decapper, couple collet factory crimp dies. I like to keep things simple and this press works well for that. I've used a lot of presses, but I just think the world of this one - its the most ingenious press ever made.
I also have a LEE "O-type," single stage I use for sizing bullets, for which I paid $15 or $20 new, back in the early nineties, on sale. I recently got a LEE Breech-Lock hand-press for a portable kit, which I am also fond of. It may seem like I'm brand-loyal, or just a skin-flint either, as I've chosen these presses carefully, giving all others a thorough look and simply find that these presses make me happy, especially the older Turret Press.
EDIT: Sorry this was that long, but I really did compress it as much as I am capable.
This press impresses me. 
