Reddit mentions of LEE PRECISION Ram Prime

Yep. But if you build the kit yourself:

This press
https://www.amazon.com/Lee-Reloading-Press-Md-90045/dp/B002SF4X5I/ref=sr_1_1?s=sporting-goods&ie=UTF8&qid=1497553125&sr=1-1&keywords=lee+press

Dies
https://www.amazon.com/Lee-Precision-30-RGB-Die/dp/B000N8LHQK/ref=sr_1_fkmr0_4?s=sporting-goods&ie=UTF8&qid=1497553143&sr=1-4-fkmr0&keywords=lee+press+RGB

Scale
https://www.amazon.com/American-Weigh-Digital-Scale-sensitivity/dp/B0012LOQUQ/ref=sr_1_3?ie=UTF8&qid=1497553166&sr=8-3&keywords=digital+scale

Calipers
https://www.amazon.com/Neiko-01407A-Electronic-Digital-Caliper/dp/B000GSLKIW/ref=sr_1_3?ie=UTF8&qid=1497553204&sr=8-3&keywords=calipers

Priming Tool
https://www.amazon.com/LEE-LP90106-Lee-Precision-Prime/dp/B00162UGQE/ref=sr_1_7?s=sporting-goods&ie=UTF8&qid=1497553314&sr=1-7&keywords=priming+tool

... and a few other small things, you should be under $100 dies included.

My reloading setup was based on budget. I spent about $147 total for my Lee Single Stage Press + extras. The only complaint I have is I wish the press was a little more accurate for speedier results.

Id like if anyone commented on high speed pressing components with high accuracy results. It would be nice to have but really just curious whats out there and what works.

Edit: incase you were curious ive listed my parts below

http://www.amazon.com/gp/product/B002BDOHNA/ref=oh_details_o09_s00_i00?ie=UTF8&psc=1

http://www.amazon.com/gp/product/B000GSLKIW/ref=oh_details_o08_s00_i00?ie=UTF8&psc=1

http://www.amazon.com/gp/product/B002SF4X5I/ref=oh_details_o07_s00_i00?ie=UTF8&psc=1

http://www.amazon.com/Lee-Precision-Deluxe-3-Die-Rifle/dp/B00162TEOE

http://www.amazon.com/gp/product/B000NOQIOU/ref=oh_details_o05_s00_i00?ie=UTF8&psc=1

http://www.amazon.com/gp/product/B000NOSGOU/ref=oh_details_o05_s00_i01?ie=UTF8&psc=1

http://www.amazon.com/gp/product/B0014136PA/ref=oh_details_o05_s00_i02?ie=UTF8&psc=1

http://www.amazon.com/gp/product/B00162UGQE/ref=oh_details_o01_s00_i00?ie=UTF8&psc=1

I feel your budget pain! I was lucky enough to get into reloading during a rare time in which I could go further in debt up to my eyeballs, but even I need to cut corners as much as I can while I concentrate on preparing for post-election shortages. At your budget level I'm going to disagree with the other commentor who recommends dial calipers; $10 digital calipers from Harbor Freight or eBay are decent and will serve you well for a few years.

Your plan fails at primer installation. Neither the hand press nor the Ultimate Rifle Die Set (good choice, IMHO) is provisioned for priming. You'd need to get a Ram Prime die or some sort of separate primer such as a hand primer (avoid the Lee hand primer because it uses proprietary shell holders).

I recently added the hand press to my collection. The hand press is nowhere near as large or heavy as its photos make it look. It's a light-duty, dinky little thing. I'm glad I have it but I wouldn't want to use it as my main press, just as an accessory. It's ok for decapping when primers aren't in too tightly, but some cases have been more difficult and I have to lay it down and repeatedly slam it (putting my fingers at risk, there's not a lot of finger clearance). I was thinking of finding appropriate pipes to use as cheaters.

IMO its best uses are light-duty decapping (using a universal decapping die or a larger caliber's sizer/decapper; NOT the sizer/decapper from your caliber's die set) and Ram Prime usage while sitting on the couch, and mobile bullet seating at the range when you have already sized/prepped the cases at home. I would not want to use it to size .308win cases, that's for sure! Some can be tough even with my Rockchucker Supreme.

For almost the same price you can get the 90045 Lee Reloader (not to be confused with the Lee Loader), a disposably-priced but (reportedly) well-built simple single stage C-press. Bolt it to a block of wood, then clamp that to the kitchen table or your desk (or the bench at the range) when you want to use it. (You'll still need either a Ram Prime or a hand prime tool.)

(Edit: I missed where you commented on your furniture clamping worry. You can clamp it without leaving a mark. Harbor Freight's cheap bar clamps have nice rubbery plastic covers, and you could place another block of wood, even plywood, on the underside to spread it out even more, and you could even sandwich in some rubber or plastic.)

Yes, always choose carbide dies if they are available. They aren't that much more from Lee and they save time/effort, which you'll appreciate especially since it sounds like you'll be tediously hand-cleaning all your cases. Does Lee offer carbide .223 dies (or does anyone else offer them at a similar price)?

Immediately get at least a cheap $15 digital jeweller's scale that measures in grains. The dipper is convenient but you shouldn't do without a scale of some sort.

Once you get into the swing of it, 1000 cases won't seem like as big of a time investment as you thought...though a tumbler would help. Do you have a treadmill? If so, you can use a $1 barrel from Dollar Tree, $4 Hartz corn cob bird litter (though finer media might be more pleasant with .223), and a glob of car polish or whatever similar stuff is handy. Place barrel on treadmill, block the end with something heavy (or turn treadmill around so open end is against a wall) so the barrel can't roll off, and run treadmill at 1.5mph for 90 minutes...cases come out sparkling clean.

Also, I'm not sure if you'll save much/any on the .223. As someone else mentioned, steel-cased (with allowed bullets) can be pretty cheap -- cheap enough to pay for the extra barrel wear twice over.

Of all the reloading components, bullets are most expensive (you already own the brass) and disappear fast. If you get into casting and can source scrap lead then you can definitely save money on .223, but casting is even more equipment investment (financially, and your limited space, plus you ought to do it outdoors).