Waxhaw, I'm not familiar with the Lee Anniversary kit, is that a Turret Press? That's what I started with 25 years ago, and it's still all I use. At the moment I have 19 turrets holding dies for 18 assorted rifle and pistol calibers, about 15 kinds of powder, and a LOT of brass on hand. I do NOT use the turret press as a progressive, having neutered it to single-stage the day I bought it. I recommend newbies do it that was as well.
Powder measures from Lee can take two forms, the Auto-Disk version that goes on top of the charging die, or the stand-alone "Perfect" powder measure. The PPM will handle nearly any kind of powder without much fuss, the Auto-Disk is a bit more finicky. Ball powders work well, but if the powder is extremely fine, it can leak out during charging and make a mess. Flake powders like Unique meter fairly well, but a small-flake or "flattened disc" powder is more consistent.
I've tried lots of different loading "systems", now all I do is load in batches. I trust but verify with my powder measures, too much or too little powder is never a good thing, consistency is what you're after. Read those manuals until you understand EVERYTHING they tell you. It's not enough to know HOW to reload, you need to understand WHY you do things a certain way.
There are lots of experienced reloaders on this forum, each one more than willing to help you learn to enjoy this hobby safely. I learned a lot on my own in the early days, pre-internet, and I made some mistakes. You don't have to, there IS help available. Beyond this forum, there's also professional advice, like the Sierra Bulletsmith's helpline, toll-free and staffed by VERY smart folks.
Make haste slowly..........those are YOUR hands and face ever-so-close to those weapons when they fire, not to mention those around you who would likely be a bit miffed if you blew yourself up or sprayed them with shrapnel.
Papajohn