You don't NEED a chronograph, but access to one (use a buddy's, one owned by the range/club, etc). It's very useful data.
I wouldn't consider Lee just "OK" - look at it like good, better, best if you want to, but it's still good. Some will trash Lee, some will praise them. I call it like I see it and my experience is most of there stuff is good and works. Some stinkers, but overall you're not trading quality or longevity or warranty for cost. There might be nicer stuff out there for some tasks, but don't think for a second you can't crank out great ammo with Lee gear. As a side note - I would bet a jelly donut that some of the most vocal "Lee sux" crowd owns & uses their universal decap die at a minimum
But stuff is interchangeable. Put Lee dies on a Dillon press (what I do for >1/2 my setups). Put Redding dies on an RCBS press. Mix & match as much as you want. I don't think anyone would have heartburn setting up a Dillon progressive press for .223 with an RCBS small base sizing die, Dylan powder die, Hornady or Redding micrometer seating die, and a Lee factory crimp die. Other than buying single dies vs a set isn't economical, that would be a pretty good setup that plays on strengths of each IMO.
Easiest thing is to buy a "kit" - problem is all I've seen have you paying for stuff you don't want or including marginal items - exception would be Dillon but that's big $ and long wait times right now. And that's not exactly a kit, but ordering all your accessories at same time with the press.
I like your idea of the Lee turret press. But first thing to buy as others have said is a manual. Read that, learn the process (and watch videos & stuff too). You'll figure out real quick what you need in addition to the press & dies.
If you're going to be low volume, that's another good reason to go with a heavy Lee mix. Inexpensive, works, but can be slower/inefficient. When i set to load 9mm, I'm filling 4 30 cal cans on that run (almost 5k). For .223 I'm going to run about 3 50 cal cans (3500). So what I use to trim .223 is different than what you should use to do batches of a few hundred for example. But if I setup to do 6.5CM, I'm doing 50-100 and that's mostly all Lee stuff and on my Lee press. No way I'm spending the $ or setup time on a Dillon progressive to run 100 of something. Spend and extra $10 when buying the dies for the turret press and that setup stays in tact. Can't beat it. Just what the spare Dillon toolhead would cost me so i don't have to tear down a setup is enough for the set of Lee dies + the trimmer pilot + the spare turret ring. I don't mean the full dillon toolhead complete with dies - I mean just the part that goes into the press to hold the dies.
But.....and you can read these lists all over THR if you poke around this forum.....you need press, dies, way to clean brass (warm soapy water is sufficient), calipers, case trimmer (depending), case gauge (depending), reference manuals, powder scale, way to dispense powder, understanding wife, solid work bench, chamfer/debur tool (depending). But from there, it's 100 different ways to clean brass, 100 different ways to trim it, 100 different ways to measure powder, 100 different ways to prep brass, etc etc. Then there are other specialty tools for all sorts of tasks. Some you will need for different calibers - like removing primer crimps or for different tasks. With a turret press you'll most likely want a press mounted powder measure for example. not a must have, but you'll see a bottleneck there without it.
I wouldn't even really go with a shopping list I or anyone else here makes for you because you don't know what you don't know. You'd be buying stuff just to re-buy it in the future because what you got wasn't best suited for what you're doing. And even asking without fully understanding will lead you astray. If you ask me "what's the best way to deal with crimped brass?" I'll tell you I use a swage-it or a Dillon super swage. A lot of people will tell you the Dillon Super Swage is a great tool. And it is. But it's $100+ and if you're doing like 100 pieces a month or less of crimped brass (you only remove the crimp once then it's gone for all future reloads) you'd have spent $100 when the chamfer tool you already have would do that amount easily.
So really, just learn. Outside of some books, I wouldn't spend a penny right now. You're not gonna find primers anyway unless you want to spend a dime or so each for them....