I got the $10 (with coupon) HF digital caliper & am very impressed with it. I figured it would be a "you get what you pay for" type deal but this is a very nice mic - esp for for $10!
Does the deluxe set come with the full length sizing die or just the neck one? You might want a FL die if your set doesn't have it.
Franklin has a very inexpensive vibratory tumbler. Got mine on Amazon for $40ish. While at HF getting your $10 caliper, get the 25 lb box of fine crushed walnut media. I forget how much it was but it was cheap, & it's enough to last for long, long time. I added a couple squirts of liquid car polish & my cases come out looking very nice. If you want to go the ultrasonic route, HF has a nice sized cleaner for under $65 (use the 20% coupon for it). I'm using both - initial cleaning with the US & then final polishing of assembled ammo (totally unnecessary but makes it prettier) in the tumbler. The ultrasonic alone does a really good job and it scrubs out the primer pockets so there isn't a separate step of cleaning them.
Someone recommended the RCBS hand priming tool. I've never used it but have the Lee one that costs 1/2 as much. They both look very similar so unless there's something I'm missing that the RCBS offers that the Lee doesn't, I'd say get the Lee one. It's really easy to use & I like it a lot.
I have the Lee & Possum hollow case trimmers. Forget which thread it was, but I recently put up a mini review/comparison of the two. Both are nice tools, but buy the adapters for either to use with a cordless drill if you have a lot of (1k) brass to go thru. If you're just going to do a few a day, you can do it by hand, but for large batches you'll be glad you spent the $9 for the drill adapter. I have the RCBS and the Lee chamfer/deburr tools. Both are inexpensive. The RCBS one costs a lot more but is a much heavier tool and easier to use powered or by hand. But they both do the same thing.
I haven't tried any other lube than the RCBS case lube 2. It's cheap, a 2oz bottle will outlast the 1k of brass you have thru all its reloadings, and it's water based so it will wash away in the ultrasonic cleaner with no problems. One Shot might also - never used it so don't know.
If your kit came with the Lee Safety Scale, get something else. Dipper, measure, digital, whatever. It's ok, but if your plan is to just use that for all your powder measuring you're a very patient person. It's good to verify your faster measure, but if its all you have, you'll really hate it. You'll also need something to get the powder into the case. the .223 neck is too small to pour it directly in from the scale pan or a dipper. I have the RCBS funnel & really hate it, but it's all I have. It gets *most* of the powder in the case, but I'd prefer that it got *all* of it instead of dumping some on my table every time. Next time I'm at Target I'll check the kitchen stuff to see if there's a plain old funnel small enough to fit inside the case mouth - the RCBS one goes around it which allows it to dump some powder outside the case. I might not be using it right, but it is just a funnel after all - would be hard to get that wrong.
You'll need more powder. a little under 4 lb for 1k. Smart just getting 1lb to start in case you don't like it. I'm using H335 also & it seems really good. But there's a bunch & everyone likes what they like. A lot of cheaper ones out there too for .223 that people really like.
I've read & asked about primers. There's conflicting info out there on whether you should use a harder military or magnum primer with an AR due to the floating firing pin. Since I don't know, I'm playing it safe & using CCI #41. I'm maybe paying a 1.5¢ "premium" vs other brands/types but since it *might* be safer, I can live with that. I'll save money buying Lee stuff whenever practical so I can splurge on primers
You didn't mention if your LC brass was new or 1x fired. If it is 1x fired or if you have M193, M855, etc (military surplus) in your stash that you'll want to reload you'll need something to remove primer crimps.
What else? There's lots of little odds & ends. Ammo boxes are really nice to put your finished rounds in. I like the semi-clear plastic ones. Just write on them with a sharpie to note what is where in the box & then wipe it off with alcohol to remove the sharpie later. The large Ziplock or Gladware plastic containers that are rectangle shaped (around 8x10x3") are really handy & cheap. As you're moving your brass from stage to stage, you can keep it segregated in those containers & the lids keep you from dumping them by accident. At every step, you need some sort of container for what needs processed & what has just been processed if you're working in batches. The ziplocks are perfect for that. They hold about 350 pieces of brass and the sides are low enough it's real easy to reach in - unlike something taller like a coffee can. You can also do the sharpie thing to mark what's in them or what stage they're in (i.e "sized to 1.750 and deburred" or "primed & ready to load").
If you don't have a stout workbench, get or build one. I thought it would be a great idea to use a small folding steel portable workbench with a top clamped to it. That way I could fold it up & put everything away when not in use to save some space. What a bad idea! You need a sturdy, level table. I quickly made a really small - 36"x18" - workbench, but it's rock solid. Made it with laminated 2x4s and a 3/4 hardwood top. I mounted the press to a piece of 6x12x1" red oak and C clamp it to the tabletop. I can get the press off the table in seconds to use it for other stuff. I built another much smaller one to sit next to the main workbench to hold the scales. that way I'm not bumping them and working the press isn't affecting them. Probably not a big deal if you have a nice big bench & work area, but being cramped like I am, it's nice. Again, if you're using the little Lee scale, you really want it segregated from anything else. So easy to bump it or the table & get it hung up on itself or knock it out of zero. Anyway, for the bench and the little scale table, I drilled a 45° pilot down thru the bottom of each leg & then secured to the floor with a 3" deck screw. Kind of the best of both worlds for me - I have a compact space saving design but the sturdiness of a huge, heavy workbench.
Lastly, this site is a great resource. I'm a newb too & have found the members here are extremely patient and helpful. Most gun-related boards have their share of knucleheads, but this community seems to be the exception.
Oh I almost forgot. You need to find a huge jar. Something like those huge glass pickle jars you see in bars sometimes. You'll have to search because most stuff is plastic nowadays, but you want the largest glass jar you can find. Whenever you buy primers, take them out of all that cardboard & plastic they come in & dump them immediately into the pickle jar.