PA and I would give you almost the same list, except I'd tell you you needed at least two manuals, and I'd have let you trade in the crimp die to get one of them, but that's one of those preference things.
Since you ask for brand names, the first purchase I'd make if I were starting over would be the Lyman reloading manual. Lots of information!!
It kinda depends on what your goals are, but I will always recommend a good single stage press and there are none better than RCBS, maybe many as good, but I know of none better.
My next step would be to figure what I was going to do with my newly remanufactured ammo, target, plink, hunt, if hunt, what are you going to hunt with it? Then I'd pick a bullet to meet the purpose. I'd probably, at that point, consider making the bullet manufacturer my second choice in loading manual. Many of the manuals will give a potentially most accurate load, compare those two manuals and see what powder pop's up most. That would my first powder choice. Then if you're like me, you'll probably want the powder manufacturer's loading manual. Now you can compare all three, somewhere in there there is going to be an indication of what combination seems to work best. That would be my starting place.
The only dies I've ever used were RCBS, Hornady and Lee, just because that's what I could get locally. Not much difference, but I seem to ask for RCBS first.
A GOOD balance beam scale is worth it's weight in gold. 500grain minimum with .1 grain graduations. Digital are neat but some seem to encounter a few "quirks" with them and they are somewhat expensive. Some people don't use a powder trickeler, I find I use mine a lot. You can reload with nothing but press, die and scale but there are a few things that make the process a lot simpler. Case prep tools for cleaning, chamfering and deburing tool, flashhole unifoming tool, vibratory cleaner is great if you have one but not indespensible, (mine died last week and I DO miss it already!). One tool I'd HIGHLY recomend is the LEE AUTO-PRIME, it's inexpensive, easy to use, and I think, does a much more uniform job of priming. A powder measure speeds things up considerably, but you could dip if you had to.
It gets to be habit forming, almost as bad as shooting, and the list of things just keeps getting longer, so I hope you're prepared for that.
My first reloaded bullet was done with a coffee cup of powder, box of primers, box of bullets, Lee Loader and a plastic mallet. I don't think I'd have been any happier shooting my own bullets if they were all X's at 970 yards.
It's also a wonderful excuse to get more guns, cause when you can get your loads to all go into the same hole, what's the point of playing with that one anymore!! :-D
